90245376 has 216 divisors, whose sum is σ = 294630336. Its totient is φ = 26357760.

The previous prime is 90245369. The next prime is 90245411. The reversal of 90245376 is 67354209.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its 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 90245376.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 688831 + ... + 688961.

Almost surely, 2^90245376 is an apocalyptic number.

90245376 is a gapful number since it is divisible by the number (96) 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 90245376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147315168).

90245376 is an abundant number, since it is smaller than the sum of its proper divisors (204384960).

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

90245376 is a wasteful number, since it uses less digits than its factorization.

90245376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 172 counting only the distinct ones).

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

The square root of 90245376 is about 9499.7566284616. The cubic root of 90245376 is about 448.5473751517.

It can be divided in two parts, 9024 and 5376, that added together give a square (14400 = 120²).

The spelling of 90245376 in words is "ninety million, two hundred forty-five thousand, three hundred seventy-six".