90906200 has 96 divisors (see below), whose sum is σ = 263554560. Its totient is φ = 28329600.

The previous prime is 90906133. The next prime is 90906217. The reversal of 90906200 is 260909.

It is a self number, because there is not a number n which added to its sum of digits gives 90906200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12449 + ... + 18351.

It is an arithmetic number, because the mean of its divisors is an integer number (2745360).

Almost surely, 2^90906200 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 90906200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131777280).

90906200 is an abundant number, since it is smaller than the sum of its proper divisors (172648360).

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

90906200 is a wasteful number, since it uses less digits than its factorization.

90906200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5937 (or 5928 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 90906200 is about 9534.4742906990. The cubic root of 90906200 is about 449.6395467424.

The spelling of 90906200 in words is "ninety million, nine hundred six thousand, two hundred".