91295040 has 112 divisors (see below), whose sum is σ = 294802560. Its totient is φ = 23930880.

The previous prime is 91295033. The next prime is 91295051. The reversal of 91295040 is 4059219.

91295040 = T₂₈₀ + T₂₈₁ + ... + T₈₂₈.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 91294989 and 91295007.

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, 57781 + ... + 59339.

Almost surely, 2^91295040 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 91295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147401280).

91295040 is an abundant number, since it is smaller than the sum of its proper divisors (203507520).

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

91295040 is a wasteful number, since it uses less digits than its factorization.

91295040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 91295040 is about 9554.8437977813. The cubic root of 91295040 is about 450.2797273155.

The spelling of 91295040 in words is "ninety-one million, two hundred ninety-five thousand, forty".