92906016 has 96 divisors (see below), whose sum is σ = 290884608. Its totient is φ = 25386240.

The previous prime is 92905999. The next prime is 92906059. The reversal of 92906016 is 61060929.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12451 + ... + 18461.

It is an arithmetic number, because the mean of its divisors is an integer number (3030048).

Almost surely, 2^92906016 is an apocalyptic number.

92906016 is a gapful number since it is divisible by the number (96) 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 92906016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145442304).

92906016 is an abundant number, since it is smaller than the sum of its proper divisors (197978592).

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

92906016 is a wasteful number, since it uses less digits than its factorization.

92906016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6054 (or 6046 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 92906016 is about 9638.7766858663. The cubic root of 92906016 is about 452.9128184297.

The spelling of 92906016 in words is "ninety-two million, nine hundred six thousand, sixteen".