53564000 has 96 divisors (see below), whose sum is σ = 150486336. Its totient is φ = 18355200.

The previous prime is 53563997. The next prime is 53564011. The reversal of 53564000 is 46535.

It is a congruent number.

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, 27044 + ... + 28956.

It is an arithmetic number, because the mean of its divisors is an integer number (1567566).

Almost surely, 2^53564000 is an apocalyptic number.

53564000 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 53564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75243168).

53564000 is an abundant number, since it is smaller than the sum of its proper divisors (96922336).

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

53564000 is a wasteful number, since it uses less digits than its factorization.

53564000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 53564000 is about 7318.7430614826. The cubic root of 53564000 is about 376.9562951960.

The spelling of 53564000 in words is "fifty-three million, five hundred sixty-four thousand".