91945040 has 80 divisors (see below), whose sum is σ = 235002816. Its totient is φ = 33177600.

The previous prime is 91945013. The next prime is 91945043. The reversal of 91945040 is 4054919.

91945040 = 166² + 167² + ... + 654².

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 91944988 and 91945006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91945043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143120 + ... + 143760.

Almost surely, 2^91945040 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 91945040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117501408).

91945040 is an abundant number, since it is smaller than the sum of its proper divisors (143057776).

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

91945040 is a wasteful number, since it uses less digits than its factorization.

91945040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 91945040 is about 9588.7976305687. The cubic root of 91945040 is about 451.3458310448.

Adding to 91945040 its reverse (4054919), we get a palindrome (95999959).

The spelling of 91945040 in words is "ninety-one million, nine hundred forty-five thousand, forty".