84132800 has 42 divisors (see below), whose sum is σ = 207023208. Its totient is φ = 33652480.

The previous prime is 84132767. The next prime is 84132803. The reversal of 84132800 is 823148.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 84132800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84132803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24692 + ... + 27891.

It is an arithmetic number, because the mean of its divisors is an integer number (4929124).

Almost surely, 2^84132800 is an apocalyptic number.

84132800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84132800 is an abundant number, since it is smaller than the sum of its proper divisors (122890408).

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

84132800 is a wasteful number, since it uses less digits than its factorization.

84132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52605 (or 52590 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 84132800 is about 9172.3933626944. The cubic root of 84132800 is about 438.1825861779.

Adding to 84132800 its reverse (823148), we get a palindrome (84955948).

The spelling of 84132800 in words is "eighty-four million, one hundred thirty-two thousand, eight hundred".