84790944 has 144 divisors (see below), whose sum is σ = 278486208. Its totient is φ = 23970816.

The previous prime is 84790943. The next prime is 84790957. The reversal of 84790944 is 44909748.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×84790944² = 14379008368822272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 84790944.

It is not an unprimeable number, because it can be changed into a prime (84790943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276039 + ... + 276345.

It is an arithmetic number, because the mean of its divisors is an integer number (1933932).

Almost surely, 2^84790944 is an apocalyptic number.

84790944 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 84790944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139243104).

84790944 is an abundant number, since it is smaller than the sum of its proper divisors (193695264).

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

84790944 is a wasteful number, since it uses less digits than its factorization.

84790944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 84790944 is about 9208.1998240698. The cubic root of 84790944 is about 439.3222071267.

The spelling of 84790944 in words is "eighty-four million, seven hundred ninety thousand, nine hundred forty-four".