90844416 has 180 divisors, whose sum is σ = 292584292. Its totient is φ = 27869184.

The previous prime is 90844409. The next prime is 90844427. The reversal of 90844416 is 61444809.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 18662400 + 72182016 = 4320^2 + 8496^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 269400 + ... + 269736.

Almost surely, 2^90844416 is an apocalyptic number.

90844416 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 90844416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146292146).

90844416 is an abundant number, since it is smaller than the sum of its proper divisors (201739876).

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

90844416 is a wasteful number, since it uses less digits than its factorization.

90844416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 90844416 is about 9531.2337081828. The cubic root of 90844416 is about 449.5376584745.

The spelling of 90844416 in words is "ninety million, eight hundred forty-four thousand, four hundred sixteen".