1117677672 has 96 divisors (see below), whose sum is σ = 3163754880. Its totient is φ = 356106240.

The previous prime is 1117677643. The next prime is 1117677697. The reversal of 1117677672 is 2767767111.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141672 + ... + 149352.

It is an arithmetic number, because the mean of its divisors is an integer number (32955780).

Almost surely, 2^1117677672 is an apocalyptic number.

1117677672 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 1117677672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581877440).

1117677672 is an abundant number, since it is smaller than the sum of its proper divisors (2046077208).

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

1117677672 is a wasteful number, since it uses less digits than its factorization.

1117677672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7783 (or 7776 counting only the distinct ones).

The product of its digits is 172872, while the sum is 45.

The square root of 1117677672 is about 33431.6866460548. The cubic root of 1117677672 is about 1037.7805454512.

The spelling of 1117677672 in words is "one billion, one hundred seventeen million, six hundred seventy-seven thousand, six hundred seventy-two".