84653964 has 48 divisors (see below), whose sum is σ = 222768000. Its totient is φ = 27794448.

The previous prime is 84653957. The next prime is 84653969. The reversal of 84653964 is 46935648.

It is not an unprimeable number, because it can be changed into a prime (84653969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1387 + ... + 13085.

It is an arithmetic number, because the mean of its divisors is an integer number (4641000).

Almost surely, 2^84653964 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 84653964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111384000).

84653964 is an abundant number, since it is smaller than the sum of its proper divisors (138114036).

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

84653964 is a wasteful number, since it uses less digits than its factorization.

84653964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11779 (or 11771 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 84653964 is about 9200.7588817445. The cubic root of 84653964 is about 439.0855042105.

The spelling of 84653964 in words is "eighty-four million, six hundred fifty-three thousand, nine hundred sixty-four".