90723360 has 384 divisors, whose sum is σ = 368492544. Its totient is φ = 18247680.

The previous prime is 90723359. The next prime is 90723361. The reversal of 90723360 is 6332709.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (90723359) and next prime (90723361).

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

It is not an unprimeable number, because it can be changed into a prime (90723361) 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, 1354047 + ... + 1354113.

It is an arithmetic number, because the mean of its divisors is an integer number (959616).

Almost surely, 2^90723360 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 90723360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184246272).

90723360 is an abundant number, since it is smaller than the sum of its proper divisors (277769184).

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

90723360 is a wasteful number, since it uses less digits than its factorization.

90723360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 90723360 is about 9524.8811016201. The cubic root of 90723360 is about 449.3378904775.

The spelling of 90723360 in words is "ninety million, seven hundred twenty-three thousand, three hundred sixty".