916746880 has 384 divisors, whose sum is σ = 2813045760. Its totient is φ = 283852800.

The previous prime is 916746877. The next prime is 916746881. The reversal of 916746880 is 88647619.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (916746881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22359660 + ... + 22359700.

It is an arithmetic number, because the mean of its divisors is an integer number (7325640).

Almost surely, 2^916746880 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 916746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406522880).

916746880 is an abundant number, since it is smaller than the sum of its proper divisors (1896298880).

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

916746880 is a wasteful number, since it uses less digits than its factorization.

916746880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

The square root of 916746880 is about 30277.8281915992. The cubic root of 916746880 is about 971.4411143544.

The spelling of 916746880 in words is "nine hundred sixteen million, seven hundred forty-six thousand, eight hundred eighty".