91200879 has 48 divisors (see below), whose sum is σ = 165993984. Its totient is φ = 46872000.

The previous prime is 91200847. The next prime is 91200883. The reversal of 91200879 is 97800219.

It is a happy number.

It is not a de Polignac number, because 91200879 - 2⁵ = 91200847 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91200899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69342 + ... + 70644.

It is an arithmetic number, because the mean of its divisors is an integer number (3458208).

Almost surely, 2^91200879 is an apocalyptic number.

91200879 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

91200879 is a deficient number, since it is larger than the sum of its proper divisors (74793105).

91200879 is a wasteful number, since it uses less digits than its factorization.

91200879 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 91200879 is about 9549.9151305129. The cubic root of 91200879 is about 450.1248690510.

The spelling of 91200879 in words is "ninety-one million, two hundred thousand, eight hundred seventy-nine".