90700032 has 72 divisors (see below), whose sum is σ = 255630816. Its totient is φ = 28450816.

The previous prime is 90700031. The next prime is 90700033. The reversal of 90700032 is 23000709.

It is an interprime number because it is at equal distance from previous prime (90700031) and next prime (90700033).

It is a junction number, because it is equal to n+sod(n) for n = 90699981 and 90700008.

It is not an unprimeable number, because it can be changed into a prime (90700031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9583 + ... + 16529.

It is an arithmetic number, because the mean of its divisors is an integer number (3550428).

Almost surely, 2^90700032 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 90700032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127815408).

90700032 is an abundant number, since it is smaller than the sum of its proper divisors (164930784).

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

90700032 is a wasteful number, since it uses less digits than its factorization.

90700032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6983 (or 6969 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 90700032 is about 9523.6564406745. The cubic root of 90700032 is about 449.2993739261.

The spelling of 90700032 in words is "ninety million, seven hundred thousand, thirty-two".