84096480 has 96 divisors (see below), whose sum is σ = 285302304. Its totient is φ = 20699136.

The previous prime is 84096461. The next prime is 84096497. The reversal of 84096480 is 8469048.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 499 + ... + 12978.

It is an arithmetic number, because the mean of its divisors is an integer number (2971899).

Almost surely, 2^84096480 is an apocalyptic number.

84096480 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 84096480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142651152).

84096480 is an abundant number, since it is smaller than the sum of its proper divisors (201205824).

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

84096480 is a wasteful number, since it uses less digits than its factorization.

84096480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13508 (or 13500 counting only the distinct ones).

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

The square root of 84096480 is about 9170.4132949393. The cubic root of 84096480 is about 438.1195228534.

The spelling of 84096480 in words is "eighty-four million, ninety-six thousand, four hundred eighty".