53460864 has 128 divisors (see below), whose sum is σ = 163200000. Its totient is φ = 17210880.

The previous prime is 53460863. The next prime is 53460899. The reversal of 53460864 is 46806435.

53460864 is a `hidden beast` number, since 534 + 60 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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 (53460863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106887 + ... + 107385.

It is an arithmetic number, because the mean of its divisors is an integer number (1275000).

Almost surely, 2^53460864 is an apocalyptic number.

53460864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53460864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81600000).

53460864 is an abundant number, since it is smaller than the sum of its proper divisors (109739136).

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

53460864 is a wasteful number, since it uses less digits than its factorization.

53460864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 535 counting only the distinct ones).

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

The square root of 53460864 is about 7311.6936478493. The cubic root of 53460864 is about 376.7142001081.

The spelling of 53460864 in words is "fifty-three million, four hundred sixty thousand, eight hundred sixty-four".