13192080 has 160 divisors (see below), whose sum is σ = 47139840. Its totient is φ = 3018240.

The previous prime is 13192057. The next prime is 13192111. The reversal of 13192080 is 8029131.

13192080 = T₁₇₆ + T₁₇₇ + ... + T₄₃₈.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13192080.

It is a congruent number.

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, 50029 + ... + 50291.

It is an arithmetic number, because the mean of its divisors is an integer number (294624).

Almost surely, 2^13192080 is an apocalyptic number.

13192080 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 13192080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23569920).

13192080 is an abundant number, since it is smaller than the sum of its proper divisors (33947760).

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

13192080 is a wasteful number, since it uses less digits than its factorization.

13192080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 13192080 is about 3632.0903072473. The cubic root of 13192080 is about 236.2858740070.

The spelling of 13192080 in words is "thirteen million, one hundred ninety-two thousand, eighty".