84549120 has 160 divisors (see below), whose sum is σ = 275473440. Its totient is φ = 22118400.

The previous prime is 84549119. The next prime is 84549131. The reversal of 84549120 is 2194548.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

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, 775626 + ... + 775734.

It is an arithmetic number, because the mean of its divisors is an integer number (1721709).

Almost surely, 2^84549120 is an apocalyptic number.

84549120 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 84549120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137736720).

84549120 is an abundant number, since it is smaller than the sum of its proper divisors (190924320).

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

84549120 is a wasteful number, since it uses less digits than its factorization.

84549120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 84549120 is about 9195.0595430372. The cubic root of 84549120 is about 438.9041600792.

The spelling of 84549120 in words is "eighty-four million, five hundred forty-nine thousand, one hundred twenty".