92253920 has 192 divisors, whose sum is σ = 258660864. Its totient is φ = 30750720.

The previous prime is 92253893. The next prime is 92253961. The reversal of 92253920 is 2935229.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1740614 + ... + 1740666.

It is an arithmetic number, because the mean of its divisors is an integer number (1347192).

Almost surely, 2^92253920 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 92253920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129330432).

92253920 is an abundant number, since it is smaller than the sum of its proper divisors (166406944).

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

92253920 is a wasteful number, since it uses less digits than its factorization.

92253920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 92253920 is about 9604.8904210303. The cubic root of 92253920 is about 451.8506829211.

The spelling of 92253920 in words is "ninety-two million, two hundred fifty-three thousand, nine hundred twenty".