90314760 has 64 divisors (see below), whose sum is σ = 273772800. Its totient is φ = 23832576.

The previous prime is 90314723. The next prime is 90314773. The reversal of 90314760 is 6741309.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 7761 + ... + 15519.

It is an arithmetic number, because the mean of its divisors is an integer number (4277700).

Almost surely, 2^90314760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90314760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136886400).

90314760 is an abundant number, since it is smaller than the sum of its proper divisors (183458040).

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

90314760 is a wasteful number, since it uses less digits than its factorization.

90314760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7870 (or 7866 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 90314760 is about 9503.4078098333. The cubic root of 90314760 is about 448.6622990031.

The spelling of 90314760 in words is "ninety million, three hundred fourteen thousand, seven hundred sixty".