1670056272 has 160 divisors (see below), whose sum is σ = 4961170560. Its totient is φ = 537477120.

The previous prime is 1670056261. The next prime is 1670056277. The reversal of 1670056272 is 2726500761.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (1670056277) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2605072 + ... + 2605712.

It is an arithmetic number, because the mean of its divisors is an integer number (31007316).

Almost surely, 2^1670056272 is an apocalyptic number.

1670056272 is a gapful number since it is divisible by the number (12) 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 1670056272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480585280).

1670056272 is an abundant number, since it is smaller than the sum of its proper divisors (3291114288).

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

1670056272 is a wasteful number, since it uses less digits than its factorization.

1670056272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 1670056272 is about 40866.3219778830. The cubic root of 1670056272 is about 1186.4343215238.

The spelling of 1670056272 in words is "one billion, six hundred seventy million, fifty-six thousand, two hundred seventy-two".