1056842624 has 64 divisors (see below), whose sum is σ = 2238288000. Its totient is φ = 495631872.

The previous prime is 1056842623. The next prime is 1056842653. The reversal of 1056842624 is 4262486501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1056842624² = 2233832663806410752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056842623) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248387 + ... + 252605.

It is an arithmetic number, because the mean of its divisors is an integer number (34973250).

Almost surely, 2^1056842624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1056842624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119144000).

1056842624 is an abundant number, since it is smaller than the sum of its proper divisors (1181445376).

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

1056842624 is a wasteful number, since it uses less digits than its factorization.

1056842624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4355 (or 4343 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The square root of 1056842624 is about 32509.1160138199. The cubic root of 1056842624 is about 1018.5994567769.

The spelling of 1056842624 in words is "one billion, fifty-six million, eight hundred forty-two thousand, six hundred twenty-four".