13629540 has 24 divisors (see below), whose sum is σ = 38162880. Its totient is φ = 3634528.

The previous prime is 13629523. The next prime is 13629557. The reversal of 13629540 is 4592631.

It is an interprime number because it is at equal distance from previous prime (13629523) and next prime (13629557).

It is a super-2 number, since 2×13629540² = 371528721223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13629498 and 13629507.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113520 + ... + 113639.

It is an arithmetic number, because the mean of its divisors is an integer number (1590120).

Almost surely, 2^13629540 is an apocalyptic number.

13629540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13629540 is an abundant number, since it is smaller than the sum of its proper divisors (24533340).

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

13629540 is a wasteful number, since it uses less digits than its factorization.

13629540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227171 (or 227169 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 13629540 is about 3691.8206890368. The cubic root of 13629540 is about 238.8693344569.

The spelling of 13629540 in words is "thirteen million, six hundred twenty-nine thousand, five hundred forty".