92101968 has 240 divisors, whose sum is σ = 325128000. Its totient is φ = 24820992.

The previous prime is 92101967. The next prime is 92101979. The reversal of 92101968 is 86910129.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92101967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 402078 + ... + 402306.

It is an arithmetic number, because the mean of its divisors is an integer number (1354700).

Almost surely, 2^92101968 is an apocalyptic number.

92101968 is a gapful number since it is divisible by the number (98) 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 92101968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162564000).

92101968 is an abundant number, since it is smaller than the sum of its proper divisors (233026032).

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

92101968 is a wasteful number, since it uses less digits than its factorization.

92101968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 92101968 is about 9596.9770240425. The cubic root of 92101968 is about 451.6024645759.

The spelling of 92101968 in words is "ninety-two million, one hundred one thousand, nine hundred sixty-eight".