90245610 has 128 divisors (see below), whose sum is σ = 296271360. Its totient is φ = 19035648.

The previous prime is 90245609. The next prime is 90245653. The reversal of 90245610 is 1654209.

90245610 is a `hidden beast` number, since 9 + 0 + 2 + 45 + 610 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22734 + ... + 26406.

It is an arithmetic number, because the mean of its divisors is an integer number (2314620).

Almost surely, 2^90245610 is an apocalyptic number.

90245610 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90245610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148135680).

90245610 is an abundant number, since it is smaller than the sum of its proper divisors (206025750).

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

90245610 is a wasteful number, since it uses less digits than its factorization.

90245610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3709 (or 3703 counting only the distinct ones).

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

The square root of 90245610 is about 9499.7689445586. The cubic root of 90245610 is about 448.5477628354.

Adding to 90245610 its reverse (1654209), we get a palindrome (91899819).

The spelling of 90245610 in words is "ninety million, two hundred forty-five thousand, six hundred ten".