13485960 has 64 divisors (see below), whose sum is σ = 44956800. Its totient is φ = 3595968.

The previous prime is 13485949. The next prime is 13485971. The reversal of 13485960 is 6958431.

13485960 is digitally balanced in base 2, because in such base 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 (13485949) and next prime (13485971).

It is a super-2 number, since 2×13485960² = 363742234243200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5164 + ... + 7323.

It is an arithmetic number, because the mean of its divisors is an integer number (702450).

Almost surely, 2^13485960 is an apocalyptic number.

13485960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13485960 is an abundant number, since it is smaller than the sum of its proper divisors (31470840).

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

13485960 is a wasteful number, since it uses less digits than its factorization.

13485960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12507 (or 12497 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 13485960 is about 3672.3235151604. The cubic root of 13485960 is about 238.0275843084.

The spelling of 13485960 in words is "thirteen million, four hundred eighty-five thousand, nine hundred sixty".