84822912 has 96 divisors (see below), whose sum is σ = 252603000. Its totient is φ = 27288576.

The previous prime is 84822887. The next prime is 84822937. The reversal of 84822912 is 21922848.

It is an interprime number because it is at equal distance from previous prime (84822887) and next prime (84822937).

It is a tau number, because it is divible by the number of its divisors (96).

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

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 11 ways as a sum of consecutive naturals, for example, 32139 + ... + 34677.

Almost surely, 2^84822912 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 84822912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126301500).

84822912 is an abundant number, since it is smaller than the sum of its proper divisors (167780088).

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

84822912 is a wasteful number, since it uses less digits than its factorization.

84822912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2588 (or 2573 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 84822912 is about 9209.9355046602. The cubic root of 84822912 is about 439.3774114800.

It can be divided in two parts, 848229 and 12, that added together give a square (848241 = 921²).

The spelling of 84822912 in words is "eighty-four million, eight hundred twenty-two thousand, nine hundred twelve".