84004000 has 48 divisors (see below), whose sum is σ = 206407656. Its totient is φ = 33600000.

The previous prime is 84003989. The next prime is 84004003. The reversal of 84004000 is 40048.

It can be written as a sum of positive squares in 4 ways, for example, as 14047504 + 69956496 = 3748^2 + 8364^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (84004003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6501 + ... + 14500.

Almost surely, 2^84004000 is an apocalyptic number.

84004000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84004000 is an abundant number, since it is smaller than the sum of its proper divisors (122403656).

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

84004000 is a wasteful number, since it uses less digits than its factorization.

84004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21026 (or 21008 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 84004000 is about 9165.3696052041. The cubic root of 84004000 is about 437.9588654961.

Adding to 84004000 its reverse (40048), we get a palindrome (84044048).

The spelling of 84004000 in words is "eighty-four million, four thousand".