91404768 has 96 divisors (see below), whose sum is σ = 295335936. Its totient is φ = 24104448.

The previous prime is 91404757. The next prime is 91404773. The reversal of 91404768 is 86740419.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×91404768² = 16709663226267648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3505 + ... + 13967.

It is an arithmetic number, because the mean of its divisors is an integer number (3076416).

Almost surely, 2^91404768 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 91404768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147667968).

91404768 is an abundant number, since it is smaller than the sum of its proper divisors (203931168).

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

91404768 is a wasteful number, since it uses less digits than its factorization.

91404768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10496 (or 10488 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 91404768 is about 9560.5840825757. The cubic root of 91404768 is about 450.4600529660.

The spelling of 91404768 in words is "ninety-one million, four hundred four thousand, seven hundred sixty-eight".