90393240 has 96 divisors (see below), whose sum is σ = 315474480. Its totient is φ = 20659968.

The previous prime is 90393239. The next prime is 90393269. The reversal of 90393240 is 4239309.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 90393198 and 90393207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1807 + ... + 13566.

Almost surely, 2^90393240 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 90393240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157737240).

90393240 is an abundant number, since it is smaller than the sum of its proper divisors (225081240).

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

90393240 is a wasteful number, since it uses less digits than its factorization.

90393240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15401 (or 15390 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 90393240 is about 9507.5359583859. The cubic root of 90393240 is about 448.7922180520.

The spelling of 90393240 in words is "ninety million, three hundred ninety-three thousand, two hundred forty".