84266400 has 72 divisors (see below), whose sum is σ = 274294944. Its totient is φ = 22470400.

The previous prime is 84266393. The next prime is 84266419. The reversal of 84266400 is 466248.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 11 ways as a sum of consecutive naturals, for example, 15156 + ... + 19955.

It is an arithmetic number, because the mean of its divisors is an integer number (3809652).

Almost surely, 2^84266400 is an apocalyptic number.

84266400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84266400 is an abundant number, since it is smaller than the sum of its proper divisors (190028544).

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

84266400 is a wasteful number, since it uses less digits than its factorization.

84266400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35134 (or 35121 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 84266400 is about 9179.6731967974. The cubic root of 84266400 is about 438.4144031533.

It can be divided in two parts, 84266 and 400, that added together give a triangular number (84666 = T₄₁₁).

The spelling of 84266400 in words is "eighty-four million, two hundred sixty-six thousand, four hundred".