84041964 has 72 divisors (see below), whose sum is σ = 220238928. Its totient is φ = 27002880.

The previous prime is 84041953. The next prime is 84042001. The reversal of 84041964 is 46914048.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142879 + ... + 143465.

It is an arithmetic number, because the mean of its divisors is an integer number (3058874).

Almost surely, 2^84041964 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 84041964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110119464).

84041964 is an abundant number, since it is smaller than the sum of its proper divisors (136196964).

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

84041964 is a wasteful number, since it uses less digits than its factorization.

84041964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 730 counting only the distinct ones).

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

The square root of 84041964 is about 9167.4404279493. The cubic root of 84041964 is about 438.0248312688.

The spelling of 84041964 in words is "eighty-four million, forty-one thousand, nine hundred sixty-four".