1056757248 has 120 divisors (see below), whose sum is σ = 3108135888. Its totient is φ = 345526272.

The previous prime is 1056757211. The next prime is 1056757249. The reversal of 1056757248 is 8427576501.

1056757248 is a `hidden beast` number, since 10 + 5 + 67 + 572 + 4 + 8 = 666.

It is a super-2 number, since 2×1056757248² = 2233471762401067008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056757249) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 242061 + ... + 246387.

Almost surely, 2^1056757248 is an apocalyptic number.

1056757248 is a gapful number since it is divisible by the number (18) 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 1056757248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554067944).

1056757248 is an abundant number, since it is smaller than the sum of its proper divisors (2051378640).

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

1056757248 is an equidigital number, since it uses as much as digits as its factorization.

1056757248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4404 (or 4385 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 1056757248 is about 32507.8028786936. The cubic root of 1056757248 is about 1018.5720271839.

The spelling of 1056757248 in words is "one billion, fifty-six million, seven hundred fifty-seven thousand, two hundred forty-eight".