916164080 has 160 divisors (see below), whose sum is σ = 2396179968. Its totient is φ = 323481600.

The previous prime is 916164077. The next prime is 916164113. The reversal of 916164080 is 80461619.

It is a self number, because there is not a number n which added to its sum of digits gives 916164080.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5061590 + ... + 5061770.

Almost surely, 2^916164080 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 916164080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198089984).

916164080 is an abundant number, since it is smaller than the sum of its proper divisors (1480015888).

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

916164080 is a wasteful number, since it uses less digits than its factorization.

916164080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 916164080 is about 30268.2024573644. The cubic root of 916164080 is about 971.2352138638.

The spelling of 916164080 in words is "nine hundred sixteen million, one hundred sixty-four thousand, eighty".