842100672 has 224 divisors, whose sum is σ = 2739136000. Its totient is φ = 227598336.

The previous prime is 842100643. The next prime is 842100697. The reversal of 842100672 is 276001248.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1250928 + ... + 1251600.

Almost surely, 2^842100672 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 842100672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369568000).

842100672 is an abundant number, since it is smaller than the sum of its proper divisors (1897035328).

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

842100672 is a wasteful number, since it uses less digits than its factorization.

842100672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 842100672 is about 29018.9708983623. The cubic root of 842100672 is about 944.3246752584.

The spelling of 842100672 in words is "eight hundred forty-two million, one hundred thousand, six hundred seventy-two".