915493680 has 120 divisors (see below), whose sum is σ = 3086083728. Its totient is φ = 243214848.

The previous prime is 915493669. The next prime is 915493687. The reversal of 915493680 is 86394519.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (915493687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201514 + ... + 206006.

Almost surely, 2^915493680 is an apocalyptic number.

915493680 is a gapful number since it is divisible by the number (90) 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 915493680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543041864).

915493680 is an abundant number, since it is smaller than the sum of its proper divisors (2170590048).

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

915493680 is a wasteful number, since it uses less digits than its factorization.

915493680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4795 (or 4786 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 915493680 is about 30257.1261027878. The cubic root of 915493680 is about 970.9982566842.

The spelling of 915493680 in words is "nine hundred fifteen million, four hundred ninety-three thousand, six hundred eighty".