15002064 has 240 divisors, whose sum is σ = 55413120. Its totient is φ = 3801600.

The previous prime is 15002063. The next prime is 15002069. The reversal of 15002064 is 46020051.

It is a happy number.

15002064 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 Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15002063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 365884 + ... + 365924.

It is an arithmetic number, because the mean of its divisors is an integer number (230888).

Almost surely, 2^15002064 is an apocalyptic number.

15002064 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 15002064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27706560).

15002064 is an abundant number, since it is smaller than the sum of its proper divisors (40411056).

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

15002064 is a wasteful number, since it uses less digits than its factorization.

15002064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 15002064 is about 3873.2497982960. The cubic root of 15002064 is about 246.6325186070.

The spelling of 15002064 in words is "fifteen million, two thousand, sixty-four".