53610400 has 72 divisors (see below), whose sum is σ = 137803680. Its totient is φ = 20309760.

The previous prime is 53610371. The next prime is 53610407. The reversal of 53610400 is 401635.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53610407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13437 + ... + 16963.

It is an arithmetic number, because the mean of its divisors is an integer number (1913940).

Almost surely, 2^53610400 is an apocalyptic number.

53610400 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 53610400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68901840).

53610400 is an abundant number, since it is smaller than the sum of its proper divisors (84193280).

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

53610400 is a wasteful number, since it uses less digits than its factorization.

53610400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3566 (or 3553 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 53610400 is about 7321.9123185135. The cubic root of 53610400 is about 377.0651103458.

The spelling of 53610400 in words is "fifty-three million, six hundred ten thousand, four hundred".