13631616 has 48 divisors (see below), whose sum is σ = 39229710. Its totient is φ = 4543488.

The previous prime is 13631593. The next prime is 13631621. The reversal of 13631616 is 61613631.

It is a happy number.

13631616 is a `hidden beast` number, since 13 + 6 + 31 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8433216 + 5198400 = 2904^2 + 2280^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13631616.

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, 4765 + ... + 7068.

Almost surely, 2^13631616 is an apocalyptic number.

13631616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13631616 is an abundant number, since it is smaller than the sum of its proper divisors (25598094).

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

13631616 is a wasteful number, since it uses less digits than its factorization.

13631616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11853 (or 11838 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 13631616 is about 3692.1018404156. The cubic root of 13631616 is about 238.8814617325.

The spelling of 13631616 in words is "thirteen million, six hundred thirty-one thousand, six hundred sixteen".