90192960 has 448 divisors, whose sum is σ = 378927360. Its totient is φ = 19906560.

The previous prime is 90192941. The next prime is 90192961. The reversal of 90192960 is 6929109.

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 (90192961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1235484 + ... + 1235556.

It is an arithmetic number, because the mean of its divisors is an integer number (845820).

Almost surely, 2^90192960 is an apocalyptic number.

90192960 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 90192960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189463680).

90192960 is an abundant number, since it is smaller than the sum of its proper divisors (288734400).

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

90192960 is a wasteful number, since it uses less digits than its factorization.

90192960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 90192960 is about 9496.9974202376. The cubic root of 90192960 is about 448.4605171001.

The spelling of 90192960 in words is "ninety million, one hundred ninety-two thousand, nine hundred sixty".