13642080 has 96 divisors (see below), whose sum is σ = 43563744. Its totient is φ = 3588096.

The previous prime is 13642067. The next prime is 13642087. The reversal of 13642080 is 8024631.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×13642080² = 372212693452800, which contains 22 as substring.

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 13642080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13642087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46414 + ... + 46706.

It is an arithmetic number, because the mean of its divisors is an integer number (453789).

Almost surely, 2^13642080 is an apocalyptic number.

13642080 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 13642080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21781872).

13642080 is an abundant number, since it is smaller than the sum of its proper divisors (29921664).

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

13642080 is a wasteful number, since it uses less digits than its factorization.

13642080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 13642080 is about 3693.5186475771. The cubic root of 13642080 is about 238.9425700728.

The spelling of 13642080 in words is "thirteen million, six hundred forty-two thousand, eighty".