90540000 has 180 divisors, whose sum is σ = 322378056. Its totient is φ = 24096000.

The previous prime is 90539993. The next prime is 90540017. The reversal of 90540000 is 4509.

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

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 179749 + ... + 180251.

Almost surely, 2^90540000 is an apocalyptic number.

90540000 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 90540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161189028).

90540000 is an abundant number, since it is smaller than the sum of its proper divisors (231838056).

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

90540000 is a wasteful number, since it uses less digits than its factorization.

90540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 513 counting only the distinct ones).

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

The square root of 90540000 is about 9515.2509162922. The cubic root of 90540000 is about 449.0349689945.

Adding to 90540000 its reverse (4509), we get a palindrome (90544509).

The spelling of 90540000 in words is "ninety million, five hundred forty thousand".