84160944 has 100 divisors (see below), whose sum is σ = 278414224. Its totient is φ = 24043392.

The previous prime is 84160943. The next prime is 84160997. The reversal of 84160944 is 44906148.

It is a happy number.

84160944 is a `hidden beast` number, since 8 + 4 + 1 + 609 + 44 = 666.

It is a super-2 number, since 2×84160944² = 14166128989942272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 84160899 and 84160908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84160943) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4434 + ... + 13710.

Almost surely, 2^84160944 is an apocalyptic number.

84160944 is a gapful number since it is divisible by the number (84) 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 84160944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139207112).

84160944 is an abundant number, since it is smaller than the sum of its proper divisors (194253280).

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

84160944 is a wasteful number, since it uses less digits than its factorization.

84160944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9304 (or 9289 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 84160944 is about 9173.9274032445. The cubic root of 84160944 is about 438.2314408293.

It can be divided in two parts, 84 and 160944, that added together give a triangular number (161028 = T₅₆₇).

The spelling of 84160944 in words is "eighty-four million, one hundred sixty thousand, nine hundred forty-four".