1255962624 has 384 divisors, whose sum is σ = 4245696000. Its totient is φ = 322043904.

The previous prime is 1255962581. The next prime is 1255962661. The reversal of 1255962624 is 4262695521.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1255962624² = 3154884225769930752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23697382 + ... + 23697434.

It is an arithmetic number, because the mean of its divisors is an integer number (11056500).

Almost surely, 2^1255962624 is an apocalyptic number.

1255962624 is a gapful number since it is divisible by the number (14) 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 1255962624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122848000).

1255962624 is an abundant number, since it is smaller than the sum of its proper divisors (2989733376).

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

1255962624 is a wasteful number, since it uses less digits than its factorization.

1255962624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 113 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 1255962624 is about 35439.5629769894. The cubic root of 1255962624 is about 1078.9274399824.

The spelling of 1255962624 in words is "one billion, two hundred fifty-five million, nine hundred sixty-two thousand, six hundred twenty-four".