84666400 has 144 divisors (see below), whose sum is σ = 254608704. Its totient is φ = 26772480.

The previous prime is 84666371. The next prime is 84666403. The reversal of 84666400 is 466648.

It is not an unprimeable number, because it can be changed into a prime (84666403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72219 + ... + 73381.

It is an arithmetic number, because the mean of its divisors is an integer number (1768116).

Almost surely, 2^84666400 is an apocalyptic number.

84666400 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 84666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127304352).

84666400 is an abundant number, since it is smaller than the sum of its proper divisors (169942304).

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

84666400 is a wasteful number, since it uses less digits than its factorization.

84666400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 84666400 is about 9201.4346707456. The cubic root of 84666400 is about 439.1070042864.

The spelling of 84666400 in words is "eighty-four million, six hundred sixty-six thousand, four hundred".