90254376 has 48 divisors (see below), whose sum is σ = 245756160. Its totient is φ = 29922720.

The previous prime is 90254371. The next prime is 90254399. The reversal of 90254376 is 67345209.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 90254376.

It is not an unprimeable number, because it can be changed into a prime (90254371) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10471 + ... + 17033.

It is an arithmetic number, because the mean of its divisors is an integer number (5119920).

Almost surely, 2^90254376 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 90254376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122878080).

90254376 is an abundant number, since it is smaller than the sum of its proper divisors (155501784).

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

90254376 is a wasteful number, since it uses less digits than its factorization.

90254376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6766 (or 6759 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 90254376 is about 9500.2303129977. The cubic root of 90254376 is about 448.5622855820.

It can be divided in two parts, 902 and 54376, that added together give a triangular number (55278 = T₃₃₂).

The spelling of 90254376 in words is "ninety million, two hundred fifty-four thousand, three hundred seventy-six".