1162106672 has 80 divisors (see below), whose sum is σ = 2474698752. Its totient is φ = 526279680.

The previous prime is 1162106639. The next prime is 1162106677. The reversal of 1162106672 is 2766012611.

It is not an unprimeable number, because it can be changed into a prime (1162106677) 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, 2386013 + ... + 2386499.

Almost surely, 2^1162106672 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 1162106672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237349376).

1162106672 is an abundant number, since it is smaller than the sum of its proper divisors (1312592080).

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

1162106672 is a wasteful number, since it uses less digits than its factorization.

1162106672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 1162106672 is about 34089.6857128370. The cubic root of 1162106672 is about 1051.3532580208.

The spelling of 1162106672 in words is "one billion, one hundred sixty-two million, one hundred six thousand, six hundred seventy-two".