90142416 has 160 divisors (see below), whose sum is σ = 318590720. Its totient is φ = 23763456.

The previous prime is 90142379. The next prime is 90142421. The reversal of 90142416 is 61424109.

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 90142416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38166 + ... + 40458.

It is an arithmetic number, because the mean of its divisors is an integer number (1991192).

Almost surely, 2^90142416 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 90142416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159295360).

90142416 is an abundant number, since it is smaller than the sum of its proper divisors (228448304).

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

90142416 is a wasteful number, since it uses less digits than its factorization.

90142416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 90142416 is about 9494.3359957398. The cubic root of 90142416 is about 448.3767292454.

The spelling of 90142416 in words is "ninety million, one hundred forty-two thousand, four hundred sixteen".