52625664 has 216 divisors, whose sum is σ = 187492032. Its totient is φ = 13824000.

The previous prime is 52625663. The next prime is 52625711. The reversal of 52625664 is 46652625.

It is a super-2 number, since 2×52625664² = 5538921022881792, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (52625663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209539 + ... + 209789.

Almost surely, 2^52625664 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 52625664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93746016).

52625664 is an abundant number, since it is smaller than the sum of its proper divisors (134866368).

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

52625664 is a wasteful number, since it uses less digits than its factorization.

52625664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 276 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 52625664 is about 7254.3548300314. The cubic root of 52625664 is about 374.7421373923.

The spelling of 52625664 in words is "fifty-two million, six hundred twenty-five thousand, six hundred sixty-four".