90969200 has 120 divisors (see below), whose sum is σ = 254903328. Its totient is φ = 30551040.

The previous prime is 90969161. The next prime is 90969223. The reversal of 90969200 is 296909.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148094 + ... + 148706.

Almost surely, 2^90969200 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 90969200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127451664).

90969200 is an abundant number, since it is smaller than the sum of its proper divisors (163934128).

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

90969200 is a wasteful number, since it uses less digits than its factorization.

90969200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 35.

The square root of 90969200 is about 9537.7775188982. Note that the first 3 decimals coincide. The cubic root of 90969200 is about 449.7433927952.

The spelling of 90969200 in words is "ninety million, nine hundred sixty-nine thousand, two hundred".