916280640 has 448 divisors, whose sum is σ = 3651747840. Its totient is φ = 214272000.

The previous prime is 916280623. The next prime is 916280641. The reversal of 916280640 is 46082619.

916280640 is a `hidden beast` number, since 9 + 1 + 6 + 2 + 8 + 0 + 640 = 666.

It is a super-2 number, since 2×916280640² = 1679140422477619200, which contains 22 as substring.

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 = 916280595 and 916280604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (916280641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2946085 + ... + 2946395.

Almost surely, 2^916280640 is an apocalyptic number.

916280640 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 916280640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825873920).

916280640 is an abundant number, since it is smaller than the sum of its proper divisors (2735467200).

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

916280640 is a wasteful number, since it uses less digits than its factorization.

916280640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 363 counting only the distinct ones).

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

The square root of 916280640 is about 30270.1278490858. The cubic root of 916280640 is about 971.2764009460.

The spelling of 916280640 in words is "nine hundred sixteen million, two hundred eighty thousand, six hundred forty".