900734968 has 64 divisors (see below), whose sum is σ = 1977592320. Its totient is φ = 376656000.

The previous prime is 900734959. The next prime is 900734969. The reversal of 900734968 is 869437009.

It is a super-2 number, since 2×900734968² = 1622646965155922048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900734969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400455 + ... + 402697.

It is an arithmetic number, because the mean of its divisors is an integer number (30899880).

Almost surely, 2^900734968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900734968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988796160).

900734968 is an abundant number, since it is smaller than the sum of its proper divisors (1076857352).

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

900734968 is a wasteful number, since it uses less digits than its factorization.

900734968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 2424 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The square root of 900734968 is about 30012.2469668634. The cubic root of 900734968 is about 965.7521293197.

The spelling of 900734968 in words is "nine hundred million, seven hundred thirty-four thousand, nine hundred sixty-eight".