92041664 has 112 divisors (see below), whose sum is σ = 218907360. Its totient is φ = 37847040.

The previous prime is 92041661. The next prime is 92041673. The reversal of 92041664 is 46614029.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 92041664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92041661) 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 15 ways as a sum of consecutive naturals, for example, 814472 + ... + 814584.

It is an arithmetic number, because the mean of its divisors is an integer number (1954530).

Almost surely, 2^92041664 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 92041664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109453680).

92041664 is an abundant number, since it is smaller than the sum of its proper divisors (126865696).

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

92041664 is a wasteful number, since it uses less digits than its factorization.

92041664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 92041664 is about 9593.8346869226. The cubic root of 92041664 is about 451.5038804324.

The spelling of 92041664 in words is "ninety-two million, forty-one thousand, six hundred sixty-four".