53919600 has 240 divisors, whose sum is σ = 202963200. Its totient is φ = 12230400.

The previous prime is 53919599. The next prime is 53919611. The reversal of 53919600 is 691935.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411535 + ... + 411665.

It is an arithmetic number, because the mean of its divisors is an integer number (845680).

Almost surely, 2^53919600 is an apocalyptic number.

53919600 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 53919600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101481600).

53919600 is an abundant number, since it is smaller than the sum of its proper divisors (149043600).

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

53919600 is a wasteful number, since it uses less digits than its factorization.

53919600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 33.

The square root of 53919600 is about 7342.9966634883. The cubic root of 53919600 is about 377.7886335468.

The spelling of 53919600 in words is "fifty-three million, nine hundred nineteen thousand, six hundred".