84289604 has 72 divisors (see below), whose sum is σ = 186415992. Its totient is φ = 33116160.

The previous prime is 84289561. The next prime is 84289609. The reversal of 84289604 is 40698248.

It can be written as a sum of positive squares in 4 ways, for example, as 200704 + 84088900 = 448^2 + 9170^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (84289609) 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, 136304 + ... + 136920.

It is an arithmetic number, because the mean of its divisors is an integer number (2589111).

Almost surely, 2^84289604 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 84289604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93207996).

84289604 is an abundant number, since it is smaller than the sum of its proper divisors (102126388).

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

84289604 is a wasteful number, since it uses less digits than its factorization.

84289604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The square root of 84289604 is about 9180.9369892185. The cubic root of 84289604 is about 438.4546407577.

The spelling of 84289604 in words is "eighty-four million, two hundred eighty-nine thousand, six hundred four".