91787040 has 96 divisors (see below), whose sum is σ = 321269760. Its totient is φ = 24475392.

The previous prime is 91787039. The next prime is 91787051. The reversal of 91787040 is 4078719.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 91786986 and 91787004.

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, 6304 + ... + 14943.

It is an arithmetic number, because the mean of its divisors is an integer number (3346560).

Almost surely, 2^91787040 is an apocalyptic number.

91787040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

91787040 is an abundant number, since it is smaller than the sum of its proper divisors (229482720).

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

91787040 is a wasteful number, since it uses less digits than its factorization.

91787040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21271 (or 21257 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 91787040 is about 9580.5553074965. Note that the first 3 decimals coincide. The cubic root of 91787040 is about 451.0871492328.

The spelling of 91787040 in words is "ninety-one million, seven hundred eighty-seven thousand, forty".