70257564 has 96 divisors (see below), whose sum is σ = 198007040. Its totient is φ = 21415104.

The previous prime is 70257541. The next prime is 70257569. The reversal of 70257564 is 46575207.

70257564 is a `hidden beast` number, since 70 + 25 + 7 + 564 = 666.

It is a super-2 number, since 2×70257564² = 9872250598428192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70257569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228699 + ... + 229005.

Almost surely, 2^70257564 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 70257564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99003520).

70257564 is an abundant number, since it is smaller than the sum of its proper divisors (127749476).

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

70257564 is a wasteful number, since it uses less digits than its factorization.

70257564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 70257564 is about 8381.9785253841. The cubic root of 70257564 is about 412.6333849635.

The spelling of 70257564 in words is "seventy million, two hundred fifty-seven thousand, five hundred sixty-four".