90150840 has 128 divisors (see below), whose sum is σ = 323668800. Its totient is φ = 22187520.

The previous prime is 90150803. The next prime is 90150871. The reversal of 90150840 is 4805109.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10830 + ... + 17250.

Almost surely, 2^90150840 is an apocalyptic number.

90150840 is a gapful number since it is divisible by the number (90) 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 90150840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161834400).

90150840 is an abundant number, since it is smaller than the sum of its proper divisors (233517960).

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

90150840 is a wasteful number, since it uses less digits than its factorization.

90150840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6454 (or 6444 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 90150840 is about 9494.7796182955. The cubic root of 90150840 is about 448.3906960626.

Adding to 90150840 its reverse (4805109), we get a palindrome (94955949).

The spelling of 90150840 in words is "ninety million, one hundred fifty thousand, eight hundred forty".