84167680 has 88 divisors (see below), whose sum is σ = 214001568. Its totient is φ = 31653888.

The previous prime is 84167669. The next prime is 84167683. The reversal of 84167680 is 8676148.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (84167683) 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, 86557 + ... + 87523.

It is an arithmetic number, because the mean of its divisors is an integer number (2431836).

Almost surely, 2^84167680 is an apocalyptic number.

84167680 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 84167680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107000784).

84167680 is an abundant number, since it is smaller than the sum of its proper divisors (129833888).

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

84167680 is a wasteful number, since it uses less digits than its factorization.

84167680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 84167680 is about 9174.2945232862. The cubic root of 84167680 is about 438.2431321123.

The spelling of 84167680 in words is "eighty-four million, one hundred sixty-seven thousand, six hundred eighty".