90951840 has 216 divisors, whose sum is σ = 361326420. Its totient is φ = 20772864.

The previous prime is 90951811. The next prime is 90951851. The reversal of 90951840 is 4815909.

It can be written as a sum of positive squares in 2 ways, for example, as 90098064 + 853776 = 9492^2 + 924^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 90951795 and 90951804.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 69916 + ... + 71204.

Almost surely, 2^90951840 is an apocalyptic number.

90951840 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 90951840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180663210).

90951840 is an abundant number, since it is smaller than the sum of its proper divisors (270374580).

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

90951840 is a wasteful number, since it uses less digits than its factorization.

90951840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 90951840 is about 9536.8674102139. The cubic root of 90951840 is about 449.7147822252.

The spelling of 90951840 in words is "ninety million, nine hundred fifty-one thousand, eight hundred forty".