90735120 has 320 divisors, whose sum is σ = 379261440. Its totient is φ = 19464192.

The previous prime is 90735107. The next prime is 90735133. The reversal of 90735120 is 2153709.

It is an interprime number because it is at equal distance from previous prime (90735107) and next prime (90735133).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 256864 + ... + 257216.

It is an arithmetic number, because the mean of its divisors is an integer number (1185192).

Almost surely, 2^90735120 is an apocalyptic number.

90735120 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 90735120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189630720).

90735120 is an abundant number, since it is smaller than the sum of its proper divisors (288526320).

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

90735120 is a wasteful number, since it uses less digits than its factorization.

90735120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 90735120 is about 9525.4984121567. The cubic root of 90735120 is about 449.3573047544.

Adding to 90735120 its reverse (2153709), we get a palindrome (92888829).

The spelling of 90735120 in words is "ninety million, seven hundred thirty-five thousand, one hundred twenty".