90906300 has 252 divisors, whose sum is σ = 313078920. Its totient is φ = 22861440.

The previous prime is 90906269. The next prime is 90906301. The reversal of 90906300 is 360909.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90906301) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2114079 + ... + 2114121.

Almost surely, 2^90906300 is an apocalyptic number.

90906300 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 90906300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156539460).

90906300 is an abundant number, since it is smaller than the sum of its proper divisors (222172620).

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

90906300 is a wasteful number, since it uses less digits than its factorization.

90906300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 90906300 is about 9534.4795348252. The cubic root of 90906300 is about 449.6397116154.

The spelling of 90906300 in words is "ninety million, nine hundred six thousand, three hundred".