90953800 has 72 divisors (see below), whose sum is σ = 246019410. Its totient is φ = 31180800.

The previous prime is 90953761. The next prime is 90953803. The reversal of 90953800 is 835909.

It can be written as a sum of positive squares in 3 ways, for example, as 82555396 + 8398404 = 9086^2 + 2898^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90953803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5160 + ... + 14440.

Almost surely, 2^90953800 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 90953800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123009705).

90953800 is an abundant number, since it is smaller than the sum of its proper divisors (155065610).

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

90953800 is a wasteful number, since it uses less digits than its factorization.

90953800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9311 (or 9295 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The square root of 90953800 is about 9536.9701687695. The cubic root of 90953800 is about 449.7180126332.

The spelling of 90953800 in words is "ninety million, nine hundred fifty-three thousand, eight hundred".