1512864 has 96 divisors (see below), whose sum is σ = 4717440. Its totient is φ = 470016.

The previous prime is 1512857. The next prime is 1512877. The reversal of 1512864 is 4682151.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14637 + ... + 14739.

It is an arithmetic number, because the mean of its divisors is an integer number (49140).

2^1512864 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 1512864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358720).

1512864 is an abundant number, since it is smaller than the sum of its proper divisors (3204576).

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

1512864 is a wasteful number, since it uses less digits than its factorization.

1512864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 125 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 1512864 is about 1229.9853657666. The cubic root of 1512864 is about 114.7977288741.

The spelling of 1512864 in words is "one million, five hundred twelve thousand, eight hundred sixty-four".