916356672 has 448 divisors, whose sum is σ = 3441070080. Its totient is φ = 232243200.

The previous prime is 916356631. The next prime is 916356673. The reversal of 916356672 is 276653619.

916356672 is a `hidden beast` number, since 9 + 1 + 635 + 6 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (916356673) 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, 9446928 + ... + 9447024.

It is an arithmetic number, because the mean of its divisors is an integer number (7680960).

Almost surely, 2^916356672 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 916356672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720535040).

916356672 is an abundant number, since it is smaller than the sum of its proper divisors (2524713408).

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

916356672 is a wasteful number, since it uses less digits than its factorization.

916356672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 191 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 916356672 is about 30271.3837146570. The cubic root of 916356672 is about 971.3032653664.

The spelling of 916356672 in words is "nine hundred sixteen million, three hundred fifty-six thousand, six hundred seventy-two".