84132412 has 96 divisors (see below), whose sum is σ = 190512000. Its totient is φ = 32288256.

The previous prime is 84132409. The next prime is 84132421. The reversal of 84132412 is 21423148.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 945264 + ... + 945352.

It is an arithmetic number, because the mean of its divisors is an integer number (1984500).

Almost surely, 2^84132412 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 84132412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95256000).

84132412 is an abundant number, since it is smaller than the sum of its proper divisors (106379588).

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

84132412 is a wasteful number, since it uses less digits than its factorization.

84132412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 164 counting only the distinct ones).

The product of its digits is 1536, while the sum is 25.

The square root of 84132412 is about 9172.3722122469. The cubic root of 84132412 is about 438.1819125797.

It can be divided in two parts, 84 and 132412, that added together give a square (132496 = 364²).

The spelling of 84132412 in words is "eighty-four million, one hundred thirty-two thousand, four hundred twelve".