53687400 has 96 divisors (see below), whose sum is σ = 179259360. Its totient is φ = 13213440.

The previous prime is 53687399. The next prime is 53687401. The reversal of 53687400 is 478635.

It is an interprime number because it is at equal distance from previous prime (53687399) and next prime (53687401).

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53687401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4359 + ... + 11241.

It is an arithmetic number, because the mean of its divisors is an integer number (1867285).

Almost surely, 2^53687400 is an apocalyptic number.

53687400 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 53687400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89629680).

53687400 is an abundant number, since it is smaller than the sum of its proper divisors (125571960).

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

53687400 is a wasteful number, since it uses less digits than its factorization.

53687400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6915 (or 6906 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 53687400 is about 7327.1686209613. The cubic root of 53687400 is about 377.2455487444.

The spelling of 53687400 in words is "fifty-three million, six hundred eighty-seven thousand, four hundred".