90645240 has 192 divisors, whose sum is σ = 326338560. Its totient is φ = 19710720.

The previous prime is 90645223. The next prime is 90645259. The reversal of 90645240 is 4254609.

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 = 90645198 and 90645207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1536331 + ... + 1536389.

It is an arithmetic number, because the mean of its divisors is an integer number (1699680).

Almost surely, 2^90645240 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 90645240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163169280).

90645240 is an abundant number, since it is smaller than the sum of its proper divisors (235693320).

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

90645240 is a wasteful number, since it uses less digits than its factorization.

90645240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 90645240 is about 9520.7793798617. The cubic root of 90645240 is about 449.2088816015.

Adding to 90645240 its reverse (4254609), we get a palindrome (94899849).

The spelling of 90645240 in words is "ninety million, six hundred forty-five thousand, two hundred forty".