84078432 has 96 divisors (see below), whose sum is σ = 255951360. Its totient is φ = 26801280.

The previous prime is 84078431. The next prime is 84078443. The reversal of 84078432 is 23487048.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (84078431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17757 + ... + 21987.

It is an arithmetic number, because the mean of its divisors is an integer number (2666160).

Almost surely, 2^84078432 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 84078432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127975680).

84078432 is an abundant number, since it is smaller than the sum of its proper divisors (171872928).

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

84078432 is a wasteful number, since it uses less digits than its factorization.

84078432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4273 (or 4259 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 84078432 is about 9169.4292079715. The cubic root of 84078432 is about 438.0881789063.

The spelling of 84078432 in words is "eighty-four million, seventy-eight thousand, four hundred thirty-two".