84642400 has 72 divisors (see below), whose sum is σ = 213361344. Its totient is φ = 32755200.

The previous prime is 84642379. The next prime is 84642401. The reversal of 84642400 is 424648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84642401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23094 + ... + 26506.

It is an arithmetic number, because the mean of its divisors is an integer number (2963352).

Almost surely, 2^84642400 is an apocalyptic number.

84642400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106680672).

84642400 is an abundant number, since it is smaller than the sum of its proper divisors (128718944).

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

84642400 is a wasteful number, since it uses less digits than its factorization.

84642400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3464 (or 3451 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 84642400 is about 9200.1304338580. The cubic root of 84642400 is about 439.0655098091.

The spelling of 84642400 in words is "eighty-four million, six hundred forty-two thousand, four hundred".