915879040 has 128 divisors (see below), whose sum is σ = 2329272000. Its totient is φ = 343388160.

The previous prime is 915879037. The next prime is 915879043. The reversal of 915879040 is 40978519.

It is an interprime number because it is at equal distance from previous prime (915879037) and next prime (915879043).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×915879040² = 1677668831822643200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (915879043) 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 15 ways as a sum of consecutive naturals, for example, 1325095 + ... + 1325785.

Almost surely, 2^915879040 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 915879040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164636000).

915879040 is an abundant number, since it is smaller than the sum of its proper divisors (1413392960).

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

915879040 is a wasteful number, since it uses less digits than its factorization.

915879040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 43.

The square root of 915879040 is about 30263.4935194204. The cubic root of 915879040 is about 971.1344787783.

The spelling of 915879040 in words is "nine hundred fifteen million, eight hundred seventy-nine thousand, forty".