84140560 has 80 divisors (see below), whose sum is σ = 224735616. Its totient is φ = 28698624.

The previous prime is 84140557. The next prime is 84140579. The reversal of 84140560 is 6504148.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×84140560² = 14159267674227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194104 + ... + 194536.

Almost surely, 2^84140560 is an apocalyptic number.

84140560 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 84140560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112367808).

84140560 is an abundant number, since it is smaller than the sum of its proper divisors (140595056).

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

84140560 is a wasteful number, since it uses less digits than its factorization.

84140560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 84140560 is about 9172.8163614018. The cubic root of 84140560 is about 438.1960577068.

The spelling of 84140560 in words is "eighty-four million, one hundred forty thousand, five hundred sixty".