913084416 has 312 divisors, whose sum is σ = 2944041984. Its totient is φ = 271319040.

The previous prime is 913084379. The next prime is 913084421. The reversal of 913084416 is 614480319.

It is a super-2 number, since 2×913084416² = 1667446301484122112, which contains 22 as substring.

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

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

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, 19427305 + ... + 19427351.

It is an arithmetic number, because the mean of its divisors is an integer number (9436032).

Almost surely, 2^913084416 is an apocalyptic number.

913084416 is a gapful number since it is divisible by the number (96) 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 913084416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472020992).

913084416 is an abundant number, since it is smaller than the sum of its proper divisors (2030957568).

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

913084416 is a wasteful number, since it uses less digits than its factorization.

913084416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 913084416 is about 30217.2867081080. The cubic root of 913084416 is about 970.1457307528.

The spelling of 913084416 in words is "nine hundred thirteen million, eighty-four thousand, four hundred sixteen".