90869760 has 312 divisors, whose sum is σ = 345004920. Its totient is φ = 22020096.

The previous prime is 90869749. The next prime is 90869797. The reversal of 90869760 is 6796809.

It can be written as a sum of positive squares in 4 ways, for example, as 19501056 + 71368704 = 4416^2 + 8448^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3133426 + ... + 3133454.

It is an arithmetic number, because the mean of its divisors is an integer number (1105785).

Almost surely, 2^90869760 is an apocalyptic number.

90869760 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 90869760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172502460).

90869760 is an abundant number, since it is smaller than the sum of its proper divisors (254135160).

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

90869760 is a wasteful number, since it uses less digits than its factorization.

90869760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 90869760 is about 9532.5631390513. The cubic root of 90869760 is about 449.5794589637.

The spelling of 90869760 in words is "ninety million, eight hundred sixty-nine thousand, seven hundred sixty".