906945300 has 108 divisors (see below), whose sum is σ = 2934562176. Its totient is φ = 234043200.

The previous prime is 906945271. The next prime is 906945307. The reversal of 906945300 is 3549609.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906945307) 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, 11647 + ... + 44153.

It is an arithmetic number, because the mean of its divisors is an integer number (27171872).

Almost surely, 2^906945300 is an apocalyptic number.

906945300 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 906945300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467281088).

906945300 is an abundant number, since it is smaller than the sum of its proper divisors (2027616876).

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

906945300 is a wasteful number, since it uses less digits than its factorization.

906945300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32558 (or 32548 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 906945300 is about 30115.5325372141. The cubic root of 906945300 is about 967.9665838361.

The spelling of 906945300 in words is "nine hundred six million, nine hundred forty-five thousand, three hundred".