1515006864 has 120 divisors (see below), whose sum is σ = 5012804160. Its totient is φ = 417924864.

The previous prime is 1515006841. The next prime is 1515006907. The reversal of 1515006864 is 4686005151.

It is a super-2 number, since 2×1515006864² = 4590491595934228992, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3319 + ... + 55145.

It is an arithmetic number, because the mean of its divisors is an integer number (41773368).

Almost surely, 2^1515006864 is an apocalyptic number.

1515006864 is a gapful number since it is divisible by the number (14) 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 1515006864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506402080).

1515006864 is an abundant number, since it is smaller than the sum of its proper divisors (3497797296).

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

1515006864 is a wasteful number, since it uses less digits than its factorization.

1515006864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51877 (or 51868 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1515006864 is about 38923.0890860425. The cubic root of 1515006864 is about 1148.5190423656.

The spelling of 1515006864 in words is "one billion, five hundred fifteen million, six thousand, eight hundred sixty-four".