53806464 has 64 divisors (see below), whose sum is σ = 158814000. Its totient is φ = 17934336.

The previous prime is 53806447. The next prime is 53806469. The reversal of 53806464 is 46460835.

53806464 is a `hidden beast` number, since 5 + 3 + 8 + 0 + 646 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53806469) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4329 + ... + 11240.

Almost surely, 2^53806464 is an apocalyptic number.

53806464 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

53806464 is an abundant number, since it is smaller than the sum of its proper divisors (105007536).

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

53806464 is a wasteful number, since it uses less digits than its factorization.

53806464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15592 (or 15574 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 53806464 is about 7335.2889513638. The cubic root of 53806464 is about 377.5242187289.

The spelling of 53806464 in words is "fifty-three million, eight hundred six thousand, four hundred sixty-four".