52964640 has 72 divisors (see below), whose sum is σ = 180746748. Its totient is φ = 14123520.

The previous prime is 52964627. The next prime is 52964641. The reversal of 52964640 is 4646925.

52964640 is a `hidden beast` number, since 5 + 2 + 9 + 6 + 4 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44036496 + 8928144 = 6636^2 + 2988^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 52964595 and 52964604.

It is not an unprimeable number, because it can be changed into a prime (52964641) 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, 16951 + ... + 19830.

Almost surely, 2^52964640 is an apocalyptic number.

It is an amenable number.

52964640 is an abundant number, since it is smaller than the sum of its proper divisors (127782108).

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

52964640 is a wasteful number, since it uses less digits than its factorization.

52964640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36802 (or 36791 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 52964640 is about 7277.6809493135. The cubic root of 52964640 is about 375.5450208224.

The spelling of 52964640 in words is "fifty-two million, nine hundred sixty-four thousand, six hundred forty".