1652665680 has 400 divisors, whose sum is σ = 6044751504. Its totient is φ = 418037760.

The previous prime is 1652665649. The next prime is 1652665699. The reversal of 1652665680 is 865662561.

It is a happy number.

1652665680 is a `hidden beast` number, since 1 + 6 + 526 + 65 + 68 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 341067024 + 1311598656 = 18468^2 + 36216^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14625304 + ... + 14625416.

Almost surely, 2^1652665680 is an apocalyptic number.

1652665680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1652665680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3022375752).

1652665680 is an abundant number, since it is smaller than the sum of its proper divisors (4392085824).

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

1652665680 is a wasteful number, since it uses less digits than its factorization.

1652665680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 1652665680 is about 40652.9910338711. The cubic root of 1652665680 is about 1182.3017601579.

The spelling of 1652665680 in words is "one billion, six hundred fifty-two million, six hundred sixty-five thousand, six hundred eighty".