90382040 has 64 divisors (see below), whose sum is σ = 238109760. Its totient is φ = 30228480.

The previous prime is 90382027. The next prime is 90382043. The reversal of 90382040 is 4028309.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90382043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7544 + ... + 15416.

It is an arithmetic number, because the mean of its divisors is an integer number (3720465).

Almost surely, 2^90382040 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 90382040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119054880).

90382040 is an abundant number, since it is smaller than the sum of its proper divisors (147727720).

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

90382040 is a wasteful number, since it uses less digits than its factorization.

90382040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7932 (or 7928 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 90382040 is about 9506.9469336901. The cubic root of 90382040 is about 448.7736817084.

The spelling of 90382040 in words is "ninety million, three hundred eighty-two thousand, forty".