84165480 has 192 divisors, whose sum is σ = 324455040. Its totient is φ = 19222272.

The previous prime is 84165479. The next prime is 84165493. The reversal of 84165480 is 8456148.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67422 + ... + 68658.

It is an arithmetic number, because the mean of its divisors is an integer number (1689870).

Almost surely, 2^84165480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84165480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162227520).

84165480 is an abundant number, since it is smaller than the sum of its proper divisors (240289560).

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

84165480 is a wasteful number, since it uses less digits than its factorization.

84165480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 84165480 is about 9174.1746222753. The cubic root of 84165480 is about 438.2393137690.

The spelling of 84165480 in words is "eighty-four million, one hundred sixty-five thousand, four hundred eighty".