90628416 has 112 divisors (see below), whose sum is σ = 268833600. Its totient is φ = 29938176.

The previous prime is 90628403. The next prime is 90628453. The reversal of 90628416 is 61482609.

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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309166 + ... + 309458.

It is an arithmetic number, because the mean of its divisors is an integer number (2400300).

Almost surely, 2^90628416 is an apocalyptic number.

90628416 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 90628416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134416800).

90628416 is an abundant number, since it is smaller than the sum of its proper divisors (178205184).

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

90628416 is a wasteful number, since it uses less digits than its factorization.

90628416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 477 counting only the distinct ones).

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

The square root of 90628416 is about 9519.8957977490. The cubic root of 90628416 is about 449.1810884236.

The spelling of 90628416 in words is "ninety million, six hundred twenty-eight thousand, four hundred sixteen".