916237440 has 256 divisors, whose sum is σ = 3436992000. Its totient is φ = 229883904.

The previous prime is 916237433. The next prime is 916237451. The reversal of 916237440 is 44732619.

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

It is a junction number, because it is equal to n+sod(n) for n = 916237395 and 916237404.

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 31 ways as a sum of consecutive naturals, for example, 292201 + ... + 295319.

It is an arithmetic number, because the mean of its divisors is an integer number (13425750).

Almost surely, 2^916237440 is an apocalyptic number.

916237440 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 916237440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718496000).

916237440 is an abundant number, since it is smaller than the sum of its proper divisors (2520754560).

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

916237440 is a wasteful number, since it uses less digits than its factorization.

916237440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3164 (or 3146 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 916237440 is about 30269.4142658889. The cubic root of 916237440 is about 971.2611364087.

The spelling of 916237440 in words is "nine hundred sixteen million, two hundred thirty-seven thousand, four hundred forty".