53632656 has 180 divisors, whose sum is σ = 190751184. Its totient is φ = 13910400.

The previous prime is 53632651. The next prime is 53632703. The reversal of 53632656 is 65623635.

It is a super-2 number, since 2×53632656² = 5752923579228672, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 53632656.

It is not an unprimeable number, because it can be changed into a prime (53632651) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 77271 + ... + 77961.

Almost surely, 2^53632656 is an apocalyptic number.

53632656 is a gapful number since it is divisible by the number (56) 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 53632656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95375592).

53632656 is an abundant number, since it is smaller than the sum of its proper divisors (137118528).

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

53632656 is a wasteful number, since it uses less digits than its factorization.

53632656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 714 counting only the distinct ones).

The product of its digits is 97200, while the sum is 36.

The square root of 53632656 is about 7323.4319823427. The cubic root of 53632656 is about 377.1172818155.

The spelling of 53632656 in words is "fifty-three million, six hundred thirty-two thousand, six hundred fifty-six".