84412692 has 180 divisors, whose sum is σ = 277121460. Its totient is φ = 22208256.

The previous prime is 84412663. The next prime is 84412693. The reversal of 84412692 is 29621448.

It can be written as a sum of positive squares in 2 ways, for example, as 46294416 + 38118276 = 6804^2 + 6174^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84412693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 206184 + ... + 206592.

Almost surely, 2^84412692 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 84412692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138560730).

84412692 is an abundant number, since it is smaller than the sum of its proper divisors (192708768).

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

84412692 is a wasteful number, since it uses less digits than its factorization.

84412692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 434 counting only the distinct ones).

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

The square root of 84412692 is about 9187.6379989636. The cubic root of 84412692 is about 438.6679618693.

The spelling of 84412692 in words is "eighty-four million, four hundred twelve thousand, six hundred ninety-two".