52686900 has 108 divisors (see below), whose sum is σ = 188758752. Its totient is φ = 12041280.

The previous prime is 52686883. The next prime is 52686901. The reversal of 52686900 is 968625.

It is a super-2 number, since 2×52686900² = 5551818863220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52686901) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2119 + ... + 10481.

Almost surely, 2^52686900 is an apocalyptic number.

52686900 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 52686900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94379376).

52686900 is an abundant number, since it is smaller than the sum of its proper divisors (136071852).

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

52686900 is a wasteful number, since it uses less digits than its factorization.

52686900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8390 (or 8380 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 52686900 is about 7258.5742401659. The cubic root of 52686900 is about 374.8874328798.

The spelling of 52686900 in words is "fifty-two million, six hundred eighty-six thousand, nine hundred".