12953088 has 80 divisors (see below), whose sum is σ = 38382960. Its totient is φ = 4313088.

The previous prime is 12953081. The next prime is 12953113. The reversal of 12953088 is 88035921.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12953081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13356 + ... + 14292.

It is an arithmetic number, because the mean of its divisors is an integer number (479787).

Almost surely, 2^12953088 is an apocalyptic number.

12953088 is a gapful number since it is divisible by the number (18) 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 12953088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19191480).

12953088 is an abundant number, since it is smaller than the sum of its proper divisors (25429872).

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

12953088 is an frugal number, since it uses more digits than its factorization.

12953088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 12953088 is about 3599.0398719659. The cubic root of 12953088 is about 234.8502924560.

The spelling of 12953088 in words is "twelve million, nine hundred fifty-three thousand, eighty-eight".