90735300 has 108 divisors (see below), whose sum is σ = 286489476. Its totient is φ = 24019200.

The previous prime is 90735247. The next prime is 90735301. The reversal of 90735300 is 353709.

It can be written as a sum of positive squares in 6 ways, for example, as 39841344 + 50893956 = 6312^2 + 7134^2 .

It is not an unprimeable number, because it can be changed into a prime (90735301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 162622 + ... + 163178.

Almost surely, 2^90735300 is an apocalyptic number.

90735300 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 90735300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143244738).

90735300 is an abundant number, since it is smaller than the sum of its proper divisors (195754176).

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

90735300 is a wasteful number, since it uses less digits than its factorization.

90735300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 27.

The square root of 90735300 is about 9525.5078604765. The cubic root of 90735300 is about 449.3576018986.

The spelling of 90735300 in words is "ninety million, seven hundred thirty-five thousand, three hundred".