90786150 has 192 divisors, whose sum is σ = 308313600. Its totient is φ = 19128960.

The previous prime is 90786149. The next prime is 90786151. The reversal of 90786150 is 5168709.

It is an interprime number because it is at equal distance from previous prime (90786149) and next prime (90786151).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90786151) 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 95 ways as a sum of consecutive naturals, for example, 122481 + ... + 123219.

It is an arithmetic number, because the mean of its divisors is an integer number (1605800).

Almost surely, 2^90786150 is an apocalyptic number.

90786150 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90786150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154156800).

90786150 is an abundant number, since it is smaller than the sum of its proper divisors (217527450).

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

90786150 is a wasteful number, since it uses less digits than its factorization.

90786150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 90786150 is about 9528.1766356423. The cubic root of 90786150 is about 449.4415294214.

The spelling of 90786150 in words is "ninety million, seven hundred eighty-six thousand, one hundred fifty".