90758144 has 44 divisors (see below), whose sum is σ = 182657904. Its totient is φ = 45072384.

The previous prime is 90758131. The next prime is 90758153. The reversal of 90758144 is 44185709.

It is a junction number, because it is equal to n+sod(n) for n = 90758098 and 90758107.

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, 269144 + ... + 269480.

It is an arithmetic number, because the mean of its divisors is an integer number (4151316).

Almost surely, 2^90758144 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 90758144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91328952).

90758144 is an abundant number, since it is smaller than the sum of its proper divisors (91899760).

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

90758144 is a wasteful number, since it uses less digits than its factorization.

90758144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 90758144 is about 9526.7068811841. The cubic root of 90758144 is about 449.3953096181.

The spelling of 90758144 in words is "ninety million, seven hundred fifty-eight thousand, one hundred forty-four".