53636400 has 180 divisors, whose sum is σ = 190693152. Its totient is φ = 13954560.

The previous prime is 53636389. The next prime is 53636413. The reversal of 53636400 is 463635.

It is a tau number, because it is divible by the number of its divisors (180).

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, 169042 + ... + 169358.

Almost surely, 2^53636400 is an apocalyptic number.

53636400 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 53636400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95346576).

53636400 is an abundant number, since it is smaller than the sum of its proper divisors (137056752).

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

53636400 is a wasteful number, since it uses less digits than its factorization.

53636400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 374 counting only the distinct ones).

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

The square root of 53636400 is about 7323.6875957403. The cubic root of 53636400 is about 377.1260569061.

The spelling of 53636400 in words is "fifty-three million, six hundred thirty-six thousand, four hundred".