90025200 has 180 divisors, whose sum is σ = 331014528. Its totient is φ = 22579200.

The previous prime is 90025189. The next prime is 90025219. The reversal of 90025200 is 252009.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60465 + ... + 61935.

Almost surely, 2^90025200 is an apocalyptic number.

90025200 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 90025200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165507264).

90025200 is an abundant number, since it is smaller than the sum of its proper divisors (240989328).

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

90025200 is a wasteful number, since it uses less digits than its factorization.

90025200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 90025200 is about 9488.1610441645. The cubic root of 90025200 is about 448.1822971968.

Adding to 90025200 its reverse (252009), we get a palindrome (90277209).

The spelling of 90025200 in words is "ninety million, twenty-five thousand, two hundred".