15225840 has 320 divisors, whose sum is σ = 64281600. Its totient is φ = 3234816.

The previous prime is 15225811. The next prime is 15225857. The reversal of 15225840 is 4852251.

It is a happy number.

15225840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 287254 + ... + 287306.

It is an arithmetic number, because the mean of its divisors is an integer number (200880).

Almost surely, 2^15225840 is an apocalyptic number.

15225840 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 15225840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32140800).

15225840 is an abundant number, since it is smaller than the sum of its proper divisors (49055760).

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

15225840 is a wasteful number, since it uses less digits than its factorization.

15225840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 15225840 is about 3902.0302407849. The cubic root of 15225840 is about 247.8527568552.

The spelling of 15225840 in words is "fifteen million, two hundred twenty-five thousand, eight hundred forty".