1060153600 has 243 divisors, whose sum is σ = 2964342171. Its totient is φ = 375091200.

The previous prime is 1060153597. The next prime is 1060153603. The reversal of 1060153600 is 63510601.

The square root of 1060153600 is 32560.

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 (1060153597) and next prime (1060153603).

It can be written as a sum of positive squares in 4 ways, for example, as 100641024 + 959512576 = 10032^2 + 30976^2 .

It is a super-2 number, since 2×1060153600² = 2247851311185920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1060153603) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28652782 + ... + 28652818.

Almost surely, 2^1060153600 is an apocalyptic number.

1060153600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1060153600 is the 32560-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1060153600

1060153600 is an abundant number, since it is smaller than the sum of its proper divisors (1904188571).

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

1060153600 is an equidigital number, since it uses as much as digits as its factorization.

1060153600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The cubic root of 1060153600 is about 1019.6620692667.

The spelling of 1060153600 in words is "one billion, sixty million, one hundred fifty-three thousand, six hundred".