90042516 has 120 divisors (see below), whose sum is σ = 252229824. Its totient is φ = 27941760.

The previous prime is 90042503. The next prime is 90042517. The reversal of 90042516 is 61524009.

It is a super-2 number, since 2×90042516² = 16215309375220512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 90042516.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90042517) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 320296 + ... + 320576.

Almost surely, 2^90042516 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 90042516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126114912).

90042516 is an abundant number, since it is smaller than the sum of its proper divisors (162187308).

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

90042516 is a wasteful number, since it uses less digits than its factorization.

90042516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 90042516 is about 9489.0735058803. The cubic root of 90042516 is about 448.2110307334.

The spelling of 90042516 in words is "ninety million, forty-two thousand, five hundred sixteen".