84009408 has 56 divisors (see below), whose sum is σ = 254032512. Its totient is φ = 24002304.

The previous prime is 84009403. The next prime is 84009421. The reversal of 84009408 is 80490048.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×84009408³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84009403) 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, 29910 + ... + 32597.

Almost surely, 2^84009408 is an apocalyptic number.

It is an amenable number.

84009408 is an abundant number, since it is smaller than the sum of its proper divisors (170023104).

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

84009408 is a wasteful number, since it uses less digits than its factorization.

84009408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62529 (or 62519 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 84009408 is about 9165.6646240194. The cubic root of 84009408 is about 437.9682635832.

The spelling of 84009408 in words is "eighty-four million, nine thousand, four hundred eight".