13642380 has 72 divisors (see below), whose sum is σ = 43570800. Its totient is φ = 3445632.

The previous prime is 13642357. The next prime is 13642423. The reversal of 13642380 is 8324631.

It is a happy number.

13642380 is a `hidden beast` number, since 13 + 642 + 3 + 8 + 0 = 666.

It is a super-2 number, since 2×13642380² = 372229064128800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1426 + ... + 5414.

It is an arithmetic number, because the mean of its divisors is an integer number (605150).

Almost surely, 2^13642380 is an apocalyptic number.

13642380 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 13642380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21785400).

13642380 is an abundant number, since it is smaller than the sum of its proper divisors (29928420).

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

13642380 is a wasteful number, since it uses less digits than its factorization.

13642380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4023 (or 4018 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 13642380 is about 3693.5592590346. The cubic root of 13642380 is about 238.9443215712.

It can be divided in two parts, 136423 and 80, that added together give a triangular number (136503 = T₅₂₂).

The spelling of 13642380 in words is "thirteen million, six hundred forty-two thousand, three hundred eighty".