90057824 has 24 divisors (see below), whose sum is σ = 181427400. Its totient is φ = 43981056.

The previous prime is 90057809. The next prime is 90057839. The reversal of 90057824 is 42875009.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (90057809) and next prime (90057839).

It is a super-2 number, since 2×90057824² = 16220823327229952, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31349 + ... + 34100.

It is an arithmetic number, because the mean of its divisors is an integer number (7559475).

Almost surely, 2^90057824 is an apocalyptic number.

It is an amenable number.

90057824 is an abundant number, since it is smaller than the sum of its proper divisors (91369576).

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

90057824 is a wasteful number, since it uses less digits than its factorization.

90057824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65502 (or 65494 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 90057824 is about 9489.8800835416. The cubic root of 90057824 is about 448.2364292006.

The spelling of 90057824 in words is "ninety million, fifty-seven thousand, eight hundred twenty-four".