90493416 has 192 divisors, whose sum is σ = 283723200. Its totient is φ = 26687232.

The previous prime is 90493411. The next prime is 90493423. The reversal of 90493416 is 61439409.

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

It is not an unprimeable number, because it can be changed into a prime (90493411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1350615 + ... + 1350681.

It is an arithmetic number, because the mean of its divisors is an integer number (1477725).

Almost surely, 2^90493416 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 90493416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141861600).

90493416 is an abundant number, since it is smaller than the sum of its proper divisors (193229784).

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

90493416 is a wasteful number, since it uses less digits than its factorization.

90493416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 90493416 is about 9512.8027415689. The cubic root of 90493416 is about 448.9579443516.

It can be divided in two parts, 90493 and 416, that added together give a palindrome (90909).

The spelling of 90493416 in words is "ninety million, four hundred ninety-three thousand, four hundred sixteen".