90408276 has 144 divisors (see below), whose sum is σ = 275079168. Its totient is φ = 24494400.

The previous prime is 90408271. The next prime is 90408281. The reversal of 90408276 is 67280409.

It is an interprime number because it is at equal distance from previous prime (90408271) and next prime (90408281).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 90408276.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90408271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 554571 + ... + 554733.

It is an arithmetic number, because the mean of its divisors is an integer number (1910272).

Almost surely, 2^90408276 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 90408276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137539584).

90408276 is an abundant number, since it is smaller than the sum of its proper divisors (184670892).

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

90408276 is a wasteful number, since it uses less digits than its factorization.

90408276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 90408276 is about 9508.3266666643. The cubic root of 90408276 is about 448.8171006858.

The spelling of 90408276 in words is "ninety million, four hundred eight thousand, two hundred seventy-six".