90094200 has 192 divisors, whose sum is σ = 336288000. Its totient is φ = 19491840.

The previous prime is 90094187. The next prime is 90094217. The reversal of 90094200 is 249009.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 79236 + ... + 80364.

It is an arithmetic number, because the mean of its divisors is an integer number (1751500).

Almost surely, 2^90094200 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 90094200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168144000).

90094200 is an abundant number, since it is smaller than the sum of its proper divisors (246193800).

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

90094200 is a wasteful number, since it uses less digits than its factorization.

90094200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 90094200 is about 9491.7964579947. The cubic root of 90094200 is about 448.2967713705.

The spelling of 90094200 in words is "ninety million, ninety-four thousand, two hundred".