90543600 has 180 divisors, whose sum is σ = 359198736. Its totient is φ = 20689920.

The previous prime is 90543589. The next prime is 90543611. The reversal of 90543600 is 634509.

It is a happy number.

90543600 is a `hidden beast` number, since 9 + 0 + 54 + 3 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (90543589) and next prime (90543611).

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

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, 23404 + ... + 26996.

Almost surely, 2^90543600 is an apocalyptic number.

90543600 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 90543600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179599368).

90543600 is an abundant number, since it is smaller than the sum of its proper divisors (268655136).

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

90543600 is a wasteful number, since it uses less digits than its factorization.

90543600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3624 (or 3610 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 90543600 is about 9515.4400844102. The cubic root of 90543600 is about 449.0409203400.

The spelling of 90543600 in words is "ninety million, five hundred forty-three thousand, six hundred".