253688100 has 72 divisors (see below), whose sum is σ = 736411200. Its totient is φ = 67428480.

The previous prime is 253688069. The next prime is 253688101. The reversal of 253688100 is 1886352.

It is a happy number.

It is a super-2 number, since 2×253688100² = 128715304163220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (253688101) 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, 103489 + ... + 105911.

Almost surely, 2^253688100 is an apocalyptic number.

253688100 is a gapful number since it is divisible by the number (20) 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 253688100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368205600).

253688100 is an abundant number, since it is smaller than the sum of its proper divisors (482723100).

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

253688100 is a wasteful number, since it uses less digits than its factorization.

253688100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2789 (or 2782 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 253688100 is about 15927.5892714497. The cubic root of 253688100 is about 633.0432250880.

The spelling of 253688100 in words is "two hundred fifty-three million, six hundred eighty-eight thousand, one hundred".