84891144 has 128 divisors (see below), whose sum is σ = 241274880. Its totient is φ = 24710400.

The previous prime is 84891119. The next prime is 84891151. The reversal of 84891144 is 44119848.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 647959 + ... + 648089.

It is an arithmetic number, because the mean of its divisors is an integer number (1884960).

Almost surely, 2^84891144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84891144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120637440).

84891144 is an abundant number, since it is smaller than the sum of its proper divisors (156383736).

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

84891144 is a wasteful number, since it uses less digits than its factorization.

84891144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 247 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 84891144 is about 9213.6390204956. The cubic root of 84891144 is about 439.4951924107.

The spelling of 84891144 in words is "eighty-four million, eight hundred ninety-one thousand, one hundred forty-four".