90624096 has 60 divisors (see below), whose sum is σ = 266530572. Its totient is φ = 30207168.

The previous prime is 90624089. The next prime is 90624103. The reversal of 90624096 is 69042609.

It is an interprime number because it is at equal distance from previous prime (90624089) and next prime (90624103).

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

It is a self number, because there is not a number n which added to its sum of digits gives 90624096.

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 9 ways as a sum of consecutive naturals, for example, 14890 + ... + 20073.

Almost surely, 2^90624096 is an apocalyptic number.

90624096 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

90624096 is an abundant number, since it is smaller than the sum of its proper divisors (175906476).

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

90624096 is a wasteful number, since it uses less digits than its factorization.

90624096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34985 (or 34968 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 90624096 is about 9519.6689018054. The cubic root of 90624096 is about 449.1739512466.

The spelling of 90624096 in words is "ninety million, six hundred twenty-four thousand, ninety-six".