90121824 has 72 divisors (see below), whose sum is σ = 276009552. Its totient is φ = 27728640.

The previous prime is 90121817. The next prime is 90121831. The reversal of 90121824 is 42812109.

It is an interprime number because it is at equal distance from previous prime (90121817) and next prime (90121831).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×90121824² = 16243886322173952, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 8292 + ... + 15779.

It is an arithmetic number, because the mean of its divisors is an integer number (3833466).

Almost surely, 2^90121824 is an apocalyptic number.

It is an amenable number.

90121824 is an abundant number, since it is smaller than the sum of its proper divisors (185887728).

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

90121824 is a wasteful number, since it uses less digits than its factorization.

90121824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24100 (or 24089 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 90121824 is about 9493.2514977746. The cubic root of 90121824 is about 448.3425844733.

The spelling of 90121824 in words is "ninety million, one hundred twenty-one thousand, eight hundred twenty-four".