840972672 has 128 divisors (see below), whose sum is σ = 2540208000. Its totient is φ = 273756672.

The previous prime is 840972647. The next prime is 840972673. The reversal of 840972672 is 276279048.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (840972673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145779 + ... + 151437.

It is an arithmetic number, because the mean of its divisors is an integer number (19845375).

Almost surely, 2^840972672 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 840972672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270104000).

840972672 is an abundant number, since it is smaller than the sum of its proper divisors (1699235328).

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

840972672 is a wasteful number, since it uses less digits than its factorization.

840972672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5725 (or 5707 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 840972672 is about 28999.5288237585. The cubic root of 840972672 is about 943.9028435871.

The spelling of 840972672 in words is "eight hundred forty million, nine hundred seventy-two thousand, six hundred seventy-two".