90252000 has 288 divisors, whose sum is σ = 337296960. Its totient is φ = 22809600.

The previous prime is 90251983. The next prime is 90252007. The reversal of 90252000 is 25209.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90252007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 827946 + ... + 828054.

It is an arithmetic number, because the mean of its divisors is an integer number (1171170).

Almost surely, 2^90252000 is an apocalyptic number.

90252000 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 90252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168648480).

90252000 is an abundant number, since it is smaller than the sum of its proper divisors (247044960).

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

90252000 is a wasteful number, since it uses less digits than its factorization.

90252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 142 counting only the distinct ones).

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

The square root of 90252000 is about 9500.1052625747. The cubic root of 90252000 is about 448.5583493247.

Adding to 90252000 its reverse (25209), we get a palindrome (90277209).

It can be divided in two parts, 9025 and 2000, that added together give a square (11025 = 105²).

The spelling of 90252000 in words is "ninety million, two hundred fifty-two thousand".