116673040 has 120 divisors (see below), whose sum is σ = 316151640. Its totient is φ = 39874560.

The previous prime is 116672999. The next prime is 116673041. The reversal of 116673040 is 40376611.

It can be written as a sum of positive squares in 4 ways, for example, as 7929856 + 108743184 = 2816^2 + 10428^2 .

It is a super-2 number, since 2×116673040² = 27225196525683200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (116673041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164206 + ... + 164914.

It is an arithmetic number, because the mean of its divisors is an integer number (2634597).

Almost surely, 2^116673040 is an apocalyptic number.

116673040 is a gapful number since it is divisible by the number (10) 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 116673040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158075820).

116673040 is an abundant number, since it is smaller than the sum of its proper divisors (199478600).

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

116673040 is a wasteful number, since it uses less digits than its factorization.

116673040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 116673040 is about 10801.5295213224. The cubic root of 116673040 is about 488.6413005608.

The spelling of 116673040 in words is "one hundred sixteen million, six hundred seventy-three thousand, forty".