13975080 has 128 divisors (see below), whose sum is σ = 48660480. Its totient is φ = 3144960.

The previous prime is 13975063. The next prime is 13975097. The reversal of 13975080 is 8057931.

13975080 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13975063) and next prime (13975097).

It is a super-2 number, since 2×13975080² = 390605722012800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106615 + ... + 106745.

It is an arithmetic number, because the mean of its divisors is an integer number (380160).

Almost surely, 2^13975080 is an apocalyptic number.

13975080 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 13975080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24330240).

13975080 is an abundant number, since it is smaller than the sum of its proper divisors (34685400).

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

13975080 is a wasteful number, since it uses less digits than its factorization.

13975080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 13975080 is about 3738.3258284960. The cubic root of 13975080 is about 240.8711397115.

The spelling of 13975080 in words is "thirteen million, nine hundred seventy-five thousand, eighty".