53364600 has 144 divisors (see below), whose sum is σ = 187153200. Its totient is φ = 13601280.

The previous prime is 53364583. The next prime is 53364613. The reversal of 53364600 is 646335.

53364600 is a `hidden beast` number, since 53 + 3 + 6 + 4 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40756 + ... + 42044.

It is an arithmetic number, because the mean of its divisors is an integer number (1299675).

Almost surely, 2^53364600 is an apocalyptic number.

53364600 is a gapful number since it is divisible by the number (50) 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 53364600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93576600).

53364600 is an abundant number, since it is smaller than the sum of its proper divisors (133788600).

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

53364600 is a wasteful number, since it uses less digits than its factorization.

53364600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 53364600 is about 7305.1078020793. The cubic root of 53364600 is about 376.4879548323.

The spelling of 53364600 in words is "fifty-three million, three hundred sixty-four thousand, six hundred".