92252160 has 576 divisors, whose sum is σ = 429287040. Its totient is φ = 17694720.

The previous prime is 92252159. The next prime is 92252189. The reversal of 92252160 is 6125229.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×92252160² = 17020922049331200, which contains 22 as substring.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7096314 + ... + 7096326.

It is an arithmetic number, because the mean of its divisors is an integer number (745290).

Almost surely, 2^92252160 is an apocalyptic number.

92252160 is a gapful number since it is divisible by the number (90) 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 92252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214643520).

92252160 is an abundant number, since it is smaller than the sum of its proper divisors (337034880).

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

92252160 is a wasteful number, since it uses less digits than its factorization.

92252160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 92252160 is about 9604.7988005996. The cubic root of 92252160 is about 451.8478094668.

Adding to 92252160 its reverse (6125229), we get a palindrome (98377389).

It can be divided in two parts, 92 and 252160, that added together give a palindrome (252252).

The spelling of 92252160 in words is "ninety-two million, two hundred fifty-two thousand, one hundred sixty".