90689508 has 288 divisors, whose sum is σ = 313098240. Its totient is φ = 21461760.

The previous prime is 90689449. The next prime is 90689531. The reversal of 90689508 is 80598609.

It is a super-2 number, since 2×90689508² = 16449173722564128, which contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 1929541 + ... + 1929587.

Almost surely, 2^90689508 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90689508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156549120).

90689508 is an abundant number, since it is smaller than the sum of its proper divisors (222408732).

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

90689508 is a wasteful number, since it uses less digits than its factorization.

90689508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 90689508 is about 9523.1039057652. The cubic root of 90689508 is about 449.2819957275.

The spelling of 90689508 in words is "ninety million, six hundred eighty-nine thousand, five hundred eight".