84268632 has 96 divisors (see below), whose sum is σ = 247389120. Its totient is φ = 23849280.

The previous prime is 84268621. The next prime is 84268649. The reversal of 84268632 is 23686248.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 153783 + ... + 154329.

It is an arithmetic number, because the mean of its divisors is an integer number (2576970).

Almost surely, 2^84268632 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 84268632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123694560).

84268632 is an abundant number, since it is smaller than the sum of its proper divisors (163120488).

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

84268632 is a wasteful number, since it uses less digits than its factorization.

84268632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 690 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 84268632 is about 9179.7947689477. The cubic root of 84268632 is about 438.4182739421.

The spelling of 84268632 in words is "eighty-four million, two hundred sixty-eight thousand, six hundred thirty-two".