15901440 has 144 divisors (see below), whose sum is σ = 52538976. Its totient is φ = 4096000.

The previous prime is 15901439. The next prime is 15901447. The reversal of 15901440 is 4410951.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 15901440.

It is not an unprimeable number, because it can be changed into a prime (15901447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157390 + ... + 157490.

It is an arithmetic number, because the mean of its divisors is an integer number (364854).

Almost surely, 2^15901440 is an apocalyptic number.

15901440 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 15901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26269488).

15901440 is an abundant number, since it is smaller than the sum of its proper divisors (36637536).

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

15901440 is a wasteful number, since it uses less digits than its factorization.

15901440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 15901440 is about 3987.6609685378. The cubic root of 15901440 is about 251.4657363401.

The spelling of 15901440 in words is "fifteen million, nine hundred one thousand, four hundred forty".