91920000 has 160 divisors (see below), whose sum is σ = 305902080. Its totient is φ = 24448000.

The previous prime is 91919977. The next prime is 91920019. The reversal of 91920000 is 2919.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 239809 + ... + 240191.

It is an arithmetic number, because the mean of its divisors is an integer number (1911888).

Almost surely, 2^91920000 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 91920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152951040).

91920000 is an abundant number, since it is smaller than the sum of its proper divisors (213982080).

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

91920000 is an equidigital number, since it uses as much as digits as its factorization.

91920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 91920000 is about 9587.4918513655. The cubic root of 91920000 is about 451.3048546611.

Adding to 91920000 its reverse (2919), we get a palindrome (91922919).

The spelling of 91920000 in words is "ninety-one million, nine hundred twenty thousand".