84673680 has 160 divisors (see below), whose sum is σ = 323145984. Its totient is φ = 17860608.

The previous prime is 84673661. The next prime is 84673681. The reversal of 84673680 is 8637648.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84673681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19902 + ... + 23778.

Almost surely, 2^84673680 is an apocalyptic number.

84673680 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 84673680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161572992).

84673680 is an abundant number, since it is smaller than the sum of its proper divisors (238472304).

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

84673680 is a wasteful number, since it uses less digits than its factorization.

84673680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3913 (or 3907 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 84673680 is about 9201.8302527269. The cubic root of 84673680 is about 439.1195893944.

The spelling of 84673680 in words is "eighty-four million, six hundred seventy-three thousand, six hundred eighty".