13648100 has 18 divisors (see below), whose sum is σ = 29616594. Its totient is φ = 5459200.

The previous prime is 13648073. The next prime is 13648111. The reversal of 13648100 is 184631.

It can be written as a sum of positive squares in 3 ways, for example, as 61504 + 13586596 = 248^2 + 3686^2 .

It is a super-2 number, since 2×13648100² = 372541267220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 68141 + ... + 68340.

Almost surely, 2^13648100 is an apocalyptic number.

13648100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13648100 is an abundant number, since it is smaller than the sum of its proper divisors (15968494).

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

13648100 is a wasteful number, since it uses less digits than its factorization.

13648100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136495 (or 136488 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 13648100 is about 3694.3334987518. Note that the first 3 decimals coincide. The cubic root of 13648100 is about 238.9777118972.

The spelling of 13648100 in words is "thirteen million, six hundred forty-eight thousand, one hundred".