913610016 has 216 divisors, whose sum is σ = 2964557232. Its totient is φ = 276566400.

The previous prime is 913609999. The next prime is 913610023. The reversal of 913610016 is 610016319.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×913610016² = 1669366522671040512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 940411 + ... + 941381.

It is an arithmetic number, because the mean of its divisors is an integer number (13724802).

Almost surely, 2^913610016 is an apocalyptic number.

913610016 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 913610016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482278616).

913610016 is an abundant number, since it is smaller than the sum of its proper divisors (2050947216).

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

913610016 is a wasteful number, since it uses less digits than its factorization.

913610016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 913610016 is about 30225.9824654220. The cubic root of 913610016 is about 970.3318438068.

The spelling of 913610016 in words is "nine hundred thirteen million, six hundred ten thousand, sixteen".