90782640 has 320 divisors, whose sum is σ = 348727680. Its totient is φ = 21565440.

The previous prime is 90782623. The next prime is 90782641. The reversal of 90782640 is 4628709.

90782640 is a `hidden beast` number, since 9 + 0 + 7 + 8 + 2 + 640 = 666.

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 = 90782595 and 90782604.

It is not an unprimeable number, because it can be changed into a prime (90782641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1488210 + ... + 1488270.

It is an arithmetic number, because the mean of its divisors is an integer number (1089774).

Almost surely, 2^90782640 is an apocalyptic number.

90782640 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90782640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174363840).

90782640 is an abundant number, since it is smaller than the sum of its proper divisors (257945040).

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

90782640 is a wasteful number, since it uses less digits than its factorization.

90782640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 90782640 is about 9527.9924433219. The cubic root of 90782640 is about 449.4357372013.

The spelling of 90782640 in words is "ninety million, seven hundred eighty-two thousand, six hundred forty".