84409680 has 40 divisors (see below), whose sum is σ = 261670752. Its totient is φ = 22509184.

The previous prime is 84409669. The next prime is 84409687. The reversal of 84409680 is 8690448.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84409687) 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, 175614 + ... + 176093.

Almost surely, 2^84409680 is an apocalyptic number.

84409680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84409680 is an abundant number, since it is smaller than the sum of its proper divisors (177261072).

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

84409680 is a wasteful number, since it uses less digits than its factorization.

84409680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351723 (or 351717 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 84409680 is about 9187.4740815961. The cubic root of 84409680 is about 438.6627443142.

The spelling of 84409680 in words is "eighty-four million, four hundred nine thousand, six hundred eighty".