92945664 has 288 divisors, whose sum is σ = 335543040. Its totient is φ = 24772608.

The previous prime is 92945653. The next prime is 92945707. The reversal of 92945664 is 46654929.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (466560) is a multiple of the sum of its prime factors (162).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 822472 + ... + 822584.

It is an arithmetic number, because the mean of its divisors is an integer number (1165080).

Almost surely, 2^92945664 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 92945664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167771520).

92945664 is an abundant number, since it is smaller than the sum of its proper divisors (242597376).

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

92945664 is a wasteful number, since it uses less digits than its factorization.

92945664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 142 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 92945664 is about 9640.8331590169. The cubic root of 92945664 is about 452.9772366966.

The spelling of 92945664 in words is "ninety-two million, nine hundred forty-five thousand, six hundred sixty-four".