15840864 has 72 divisors (see below), whose sum is σ = 48524112. Its totient is φ = 4872960.

The previous prime is 15840841. The next prime is 15840901. The reversal of 15840864 is 46804851.

15840864 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1629 + ... + 5859.

It is an arithmetic number, because the mean of its divisors is an integer number (673946).

Almost surely, 2^15840864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15840864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24262056).

15840864 is an abundant number, since it is smaller than the sum of its proper divisors (32683248).

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

15840864 is a wasteful number, since it uses less digits than its factorization.

15840864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4260 (or 4249 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 15840864 is about 3980.0582910304. The cubic root of 15840864 is about 251.1460132539.

The spelling of 15840864 in words is "fifteen million, eight hundred forty thousand, eight hundred sixty-four".