90205740 has 144 divisors (see below), whose sum is σ = 297198720. Its totient is φ = 22056960.

The previous prime is 90205729. The next prime is 90205783. The reversal of 90205740 is 4750209.

90205740 is a `hidden beast` number, since 90 + 2 + 0 + 574 + 0 = 666.

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, 125101 + ... + 125819.

It is an arithmetic number, because the mean of its divisors is an integer number (2063880).

Almost surely, 2^90205740 is an apocalyptic number.

90205740 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90205740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148599360).

90205740 is an abundant number, since it is smaller than the sum of its proper divisors (206992980).

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

90205740 is a wasteful number, since it uses less digits than its factorization.

90205740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 90205740 is about 9497.6702406432. The cubic root of 90205740 is about 448.4816978173.

Adding to 90205740 its reverse (4750209), we get a palindrome (94955949).

The spelling of 90205740 in words is "ninety million, two hundred five thousand, seven hundred forty".