84397680 has 160 divisors (see below), whose sum is σ = 298105920. Its totient is φ = 21934080.

The previous prime is 84397661. The next prime is 84397681. The reversal of 84397680 is 8679348.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84397681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88084 + ... + 89036.

It is an arithmetic number, because the mean of its divisors is an integer number (1863162).

Almost surely, 2^84397680 is an apocalyptic number.

84397680 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 84397680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149052960).

84397680 is an abundant number, since it is smaller than the sum of its proper divisors (213708240).

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

84397680 is a wasteful number, since it uses less digits than its factorization.

84397680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 84397680 is about 9186.8209953172. The cubic root of 84397680 is about 438.6419560097.

The spelling of 84397680 in words is "eighty-four million, three hundred ninety-seven thousand, six hundred eighty".