15226920 has 128 divisors (see below), whose sum is σ = 53049600. Its totient is φ = 3877632.

The previous prime is 15226909. The next prime is 15226927. The reversal of 15226920 is 2962251.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15226927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24534 + ... + 25146.

It is an arithmetic number, because the mean of its divisors is an integer number (414450).

Almost surely, 2^15226920 is an apocalyptic number.

15226920 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 15226920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26524800).

15226920 is an abundant number, since it is smaller than the sum of its proper divisors (37822680).

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

15226920 is a wasteful number, since it uses less digits than its factorization.

15226920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 15226920 is about 3902.1686278274. The cubic root of 15226920 is about 247.8586169511.

It can be divided in two parts, 152 and 26920, that added together give a palindrome (27072).

The spelling of 15226920 in words is "fifteen million, two hundred twenty-six thousand, nine hundred twenty".