13790370 has 96 divisors (see below), whose sum is σ = 37920960. Its totient is φ = 3203200.

The previous prime is 13790369. The next prime is 13790389. The reversal of 13790370 is 7309731.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105205 + ... + 105335.

It is an arithmetic number, because the mean of its divisors is an integer number (395010).

Almost surely, 2^13790370 is an apocalyptic number.

13790370 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 13790370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18960480).

13790370 is an abundant number, since it is smaller than the sum of its proper divisors (24130590).

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

13790370 is a wasteful number, since it uses less digits than its factorization.

13790370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 3969, while the sum is 30.

The square root of 13790370 is about 3713.5387435706. The cubic root of 13790370 is about 239.8052239134.

The spelling of 13790370 in words is "thirteen million, seven hundred ninety thousand, three hundred seventy".