84361280 has 56 divisors (see below), whose sum is σ = 202749912. Its totient is φ = 33431552.

The previous prime is 84361279. The next prime is 84361307. The reversal of 84361280 is 8216348.

It can be written as a sum of positive squares in 4 ways, for example, as 602176 + 83759104 = 776^2 + 9152^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 34994 + ... + 37326.

Almost surely, 2^84361280 is an apocalyptic number.

84361280 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 84361280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101374956).

84361280 is an abundant number, since it is smaller than the sum of its proper divisors (118388632).

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

84361280 is a wasteful number, since it uses less digits than its factorization.

84361280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2463 (or 2453 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 84361280 is about 9184.8396828687. The cubic root of 84361280 is about 438.5788860961.

The spelling of 84361280 in words is "eighty-four million, three hundred sixty-one thousand, two hundred eighty".