84855760 has 80 divisors (see below), whose sum is σ = 216718272. Its totient is φ = 30643200.

The previous prime is 84855713. The next prime is 84855787. The reversal of 84855760 is 6755848.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 185452 + ... + 185908.

Almost surely, 2^84855760 is an apocalyptic number.

84855760 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 84855760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108359136).

84855760 is an abundant number, since it is smaller than the sum of its proper divisors (131862512).

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

84855760 is a wasteful number, since it uses less digits than its factorization.

84855760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 43.

The square root of 84855760 is about 9211.7186235794. The cubic root of 84855760 is about 439.4341210264.

The spelling of 84855760 in words is "eighty-four million, eight hundred fifty-five thousand, seven hundred sixty".