53961864 has 64 divisors (see below), whose sum is σ = 153584640. Its totient is φ = 15639360.

The previous prime is 53961851. The next prime is 53961883. The reversal of 53961864 is 46816935.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1629 + ... + 10515.

It is an arithmetic number, because the mean of its divisors is an integer number (2399760).

Almost surely, 2^53961864 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 53961864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76792320).

53961864 is an abundant number, since it is smaller than the sum of its proper divisors (99622776).

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

53961864 is a wasteful number, since it uses less digits than its factorization.

53961864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8930 (or 8926 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 53961864 is about 7345.8739439225. The cubic root of 53961864 is about 377.8873155897.

Subtracting from 53961864 its reverse (46816935), we obtain a square (7144929 = 2673²).

It can be divided in two parts, 5396 and 1864, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 53961864 in words is "fifty-three million, nine hundred sixty-one thousand, eight hundred sixty-four".