90268416 has 216 divisors, whose sum is σ = 309298080. Its totient is φ = 24772608.

The previous prime is 90268379. The next prime is 90268427. The reversal of 90268416 is 61486209.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 467616 + ... + 467808.

Almost surely, 2^90268416 is an apocalyptic number.

90268416 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 90268416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154649040).

90268416 is an abundant number, since it is smaller than the sum of its proper divisors (219029664).

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

90268416 is a wasteful number, since it uses less digits than its factorization.

90268416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 90268416 is about 9500.9692137171. The cubic root of 90268416 is about 448.5855438742.

The spelling of 90268416 in words is "ninety million, two hundred sixty-eight thousand, four hundred sixteen".