9092041920 has 336 divisors, whose sum is σ = 34505688672. Its totient is φ = 2183086080.

The previous prime is 9092041919. The next prime is 9092041939. The reversal of 9092041920 is 291402909.

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

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, 1532079 + ... + 1538001.

It is an arithmetic number, because the mean of its divisors is an integer number (102695502).

Almost surely, 2^9092041920 is an apocalyptic number.

9092041920 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 9092041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17252844336).

9092041920 is an abundant number, since it is smaller than the sum of its proper divisors (25413646752).

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

9092041920 is a wasteful number, since it uses less digits than its factorization.

9092041920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6000 (or 5987 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 9092041920 is about 95352.1993453743. The cubic root of 9092041920 is about 2087.1507093400.

The spelling of 9092041920 in words is "nine billion, ninety-two million, forty-one thousand, nine hundred twenty".