52672680 has 96 divisors (see below), whose sum is σ = 177559200. Its totient is φ = 14043456.

The previous prime is 52672657. The next prime is 52672687. The reversal of 52672680 is 8627625.

52672680 is a `hidden beast` number, since 526 + 72 + 68 + 0 = 666.

It is a super-2 number, since 2×52672680² = 5548822436764800, 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 (52672687) 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, 7011 + ... + 12429.

It is an arithmetic number, because the mean of its divisors is an integer number (1849575).

Almost surely, 2^52672680 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 52672680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88779600).

52672680 is an abundant number, since it is smaller than the sum of its proper divisors (124886520).

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

52672680 is a wasteful number, since it uses less digits than its factorization.

52672680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5445 (or 5429 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 52672680 is about 7257.5946428552. The cubic root of 52672680 is about 374.8537029332.

The spelling of 52672680 in words is "fifty-two million, six hundred seventy-two thousand, six hundred eighty".