13917960 has 192 divisors, whose sum is σ = 54172800. Its totient is φ = 3169152.

The previous prime is 13917949. The next prime is 13917971. The reversal of 13917960 is 6971931.

It is an interprime number because it is at equal distance from previous prime (13917949) and next prime (13917971).

It is a super-2 number, since 2×13917960² = 387419221123200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52789 + ... + 53051.

It is an arithmetic number, because the mean of its divisors is an integer number (282150).

Almost surely, 2^13917960 is an apocalyptic number.

13917960 is a gapful number since it is divisible by the number (10) 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 13917960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27086400).

13917960 is an abundant number, since it is smaller than the sum of its proper divisors (40254840).

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

13917960 is a wasteful number, since it uses less digits than its factorization.

13917960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 13917960 is about 3730.6782225220. The cubic root of 13917960 is about 240.5425226973.

The spelling of 13917960 in words is "thirteen million, nine hundred seventeen thousand, nine hundred sixty".