13951616 has 64 divisors (see below), whose sum is σ = 33194880. Its totient is φ = 5710848.

The previous prime is 13951591. The next prime is 13951699. The reversal of 13951616 is 61615931.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×13951616² = 389295178022912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 20270 + ... + 20946.

It is an arithmetic number, because the mean of its divisors is an integer number (518670).

Almost surely, 2^13951616 is an apocalyptic number.

13951616 is a gapful number since it is divisible by the number (16) 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 13951616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16597440).

13951616 is an abundant number, since it is smaller than the sum of its proper divisors (19243264).

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

13951616 is an equidigital number, since it uses as much as digits as its factorization.

13951616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 709 counting only the distinct ones).

The product of its digits is 4860, while the sum is 32.

The square root of 13951616 is about 3735.1862068711. The cubic root of 13951616 is about 240.7362575622.

The spelling of 13951616 in words is "thirteen million, nine hundred fifty-one thousand, six hundred sixteen".