916162632 has 288 divisors, whose sum is σ = 3171954240. Its totient is φ = 233798400.

The previous prime is 916162631. The next prime is 916162673. The reversal of 916162632 is 236261619.

It is a happy number.

916162632 is a `hidden beast` number, since 9 + 1 + 6 + 16 + 2 + 632 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (916162631) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 5061582 + ... + 5061762.

It is an arithmetic number, because the mean of its divisors is an integer number (11013730).

Almost surely, 2^916162632 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 916162632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585977120).

916162632 is an abundant number, since it is smaller than the sum of its proper divisors (2255791608).

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

916162632 is a wasteful number, since it uses less digits than its factorization.

916162632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 287 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 916162632 is about 30268.1785378638. The cubic root of 916162632 is about 971.2347021835.

The spelling of 916162632 in words is "nine hundred sixteen million, one hundred sixty-two thousand, six hundred thirty-two".