53640672 has 24 divisors (see below), whose sum is σ = 140807016. Its totient is φ = 17880192.

The previous prime is 53640637. The next prime is 53640689. The reversal of 53640672 is 27604635.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×53640672³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 279283 + ... + 279474.

It is an arithmetic number, because the mean of its divisors is an integer number (5866959).

Almost surely, 2^53640672 is an apocalyptic number.

It is an amenable number.

53640672 is an abundant number, since it is smaller than the sum of its proper divisors (87166344).

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

53640672 is a wasteful number, since it uses less digits than its factorization.

53640672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558770 (or 558762 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 53640672 is about 7323.9792462841. The cubic root of 53640672 is about 377.1360690107.

The spelling of 53640672 in words is "fifty-three million, six hundred forty thousand, six hundred seventy-two".