1161678672 has 300 divisors, whose sum is σ = 4269298176. Its totient is φ = 301553280.

The previous prime is 1161678667. The next prime is 1161678673. The reversal of 1161678672 is 2768761611.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1161678673) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 697713 + ... + 699375.

Almost surely, 2^1161678672 is an apocalyptic number.

1161678672 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 1161678672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2134649088).

1161678672 is an abundant number, since it is smaller than the sum of its proper divisors (3107619504).

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

1161678672 is a wasteful number, since it uses less digits than its factorization.

1161678672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708 (or 1686 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 1161678672 is about 34083.4075761213. The cubic root of 1161678672 is about 1051.2241722095.

The spelling of 1161678672 in words is "one billion, one hundred sixty-one million, six hundred seventy-eight thousand, six hundred seventy-two".