91406592 has 108 divisors (see below), whose sum is σ = 266915740. Its totient is φ = 30081024.

The previous prime is 91406591. The next prime is 91406593. The reversal of 91406592 is 29560419.

It is an interprime number because it is at equal distance from previous prime (91406591) and next prime (91406593).

It can be written as a sum of positive squares in 2 ways, for example, as 65028096 + 26378496 = 8064^2 + 5136^2 .

It is a super-2 number, since 2×91406592² = 16710330122108928, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (91406591) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 223284 + ... + 223692.

Almost surely, 2^91406592 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 91406592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133457870).

91406592 is an abundant number, since it is smaller than the sum of its proper divisors (175509148).

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

91406592 is a wasteful number, since it uses less digits than its factorization.

91406592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 91406592 is about 9560.6794737613. The cubic root of 91406592 is about 450.4630492855.

The spelling of 91406592 in words is "ninety-one million, four hundred six thousand, five hundred ninety-two".