90306720 has 432 divisors, whose sum is σ = 386201088. Its totient is φ = 18800640.

The previous prime is 90306719. The next prime is 90306721. The reversal of 90306720 is 2760309.

It is an interprime number because it is at equal distance from previous prime (90306719) and next prime (90306721).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90306721) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2913105 + ... + 2913135.

It is an arithmetic number, because the mean of its divisors is an integer number (893984).

Almost surely, 2^90306720 is an apocalyptic number.

90306720 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 90306720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193100544).

90306720 is an abundant number, since it is smaller than the sum of its proper divisors (295894368).

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

90306720 is a wasteful number, since it uses less digits than its factorization.

90306720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 90306720 is about 9502.9847942633. The cubic root of 90306720 is about 448.6489850039.

The spelling of 90306720 in words is "ninety million, three hundred six thousand, seven hundred twenty".