90240106320 has 1280 divisors, whose sum is σ = 409440460800. Its totient is φ = 17736744960.

The previous prime is 90240106303. The next prime is 90240106321. The reversal of 90240106320 is 2360104209.

90240106320 is a `hidden beast` number, since 9 + 0 + 24 + 0 + 1 + 0 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90240106321) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 272628555 + ... + 272628885.

It is an arithmetic number, because the mean of its divisors is an integer number (319875360).

Almost surely, 2^90240106320 is an apocalyptic number.

90240106320 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 90240106320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204720230400).

90240106320 is an abundant number, since it is smaller than the sum of its proper divisors (319200354480).

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

90240106320 is a wasteful number, since it uses less digits than its factorization.

90240106320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 90240106320 in words is "ninety billion, two hundred forty million, one hundred six thousand, three hundred twenty".