1020670672 has 60 divisors (see below), whose sum is σ = 2284868640. Its totient is φ = 432679104.

The previous prime is 1020670643. The next prime is 1020670681. The reversal of 1020670672 is 2760760201.

1020670672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1187779 + ... + 1188637.

It is an arithmetic number, because the mean of its divisors is an integer number (38081144).

Almost surely, 2^1020670672 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 1020670672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142434320).

1020670672 is an abundant number, since it is smaller than the sum of its proper divisors (1264197968).

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

1020670672 is an equidigital number, since it uses as much as digits as its factorization.

1020670672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 1020670672 is about 31947.9368973961. The cubic root of 1020670672 is about 1006.8432866035.

The spelling of 1020670672 in words is "one billion, twenty million, six hundred seventy thousand, six hundred seventy-two".