1536640000 has 275 divisors, whose sum is σ = 4477978307. Its totient is φ = 526848000.

The previous prime is 1536639997. The next prime is 1536640003. The reversal of 1536640000 is 466351.

The square root of 1536640000 is 39200.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (1536639997) and next prime (1536640003).

It can be written as a sum of positive squares in 2 ways, for example, as 120472576 + 1416167424 = 10976^2 + 37632^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=140.

It is a super-2 number, since 2×1536640000² = 4722524979200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1536640003) by changing a digit.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 219519997 + ... + 219520003.

Almost surely, 2^1536640000 is an apocalyptic number.

1536640000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1536640000 is the 39200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1536640000

1536640000 is an abundant number, since it is smaller than the sum of its proper divisors (2941338307).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1536640000 is an frugal number, since it uses more digits than its factorization.

1536640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The cubic root of 1536640000 is about 1153.9598839464.

Multiplying 1536640000 by its sum of digits (25), we get a square (38416000000 = 196000²).

1536640000 divided by its sum of digits (25) gives a square (61465600 = 7840²).

The spelling of 1536640000 in words is "one billion, five hundred thirty-six million, six hundred forty thousand".