13535910 has 80 divisors (see below), whose sum is σ = 38576736. Its totient is φ = 3393792.

The previous prime is 13535903. The next prime is 13535981. The reversal of 13535910 is 1953531.

13535910 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13279 + ... + 14261.

Almost surely, 2^13535910 is an apocalyptic number.

13535910 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13535910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19288368).

13535910 is an abundant number, since it is smaller than the sum of its proper divisors (25040826).

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

13535910 is a wasteful number, since it uses less digits than its factorization.

13535910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 27.

The square root of 13535910 is about 3679.1181008497. The cubic root of 13535910 is about 238.3210952144.

The spelling of 13535910 in words is "thirteen million, five hundred thirty-five thousand, nine hundred ten".