15199920 has 160 divisors (see below), whose sum is σ = 54282240. Its totient is φ = 3905280.

The previous prime is 15199909. The next prime is 15199931. The reversal of 15199920 is 2999151.

It is an interprime number because it is at equal distance from previous prime (15199909) and next prime (15199931).

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

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, 66847 + ... + 67073.

It is an arithmetic number, because the mean of its divisors is an integer number (339264).

Almost surely, 2^15199920 is an apocalyptic number.

15199920 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 15199920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27141120).

15199920 is an abundant number, since it is smaller than the sum of its proper divisors (39082320).

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

15199920 is a wasteful number, since it uses less digits than its factorization.

15199920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 36.

The square root of 15199920 is about 3898.7074781266. The cubic root of 15199920 is about 247.7120313420.

The spelling of 15199920 in words is "fifteen million, one hundred ninety-nine thousand, nine hundred twenty".