84921120 has 144 divisors (see below), whose sum is σ = 306928440. Its totient is φ = 21307392.

The previous prime is 84921107. The next prime is 84921157. The reversal of 84921120 is 2112948.

It can be written as a sum of positive squares in 4 ways, for example, as 55890576 + 29030544 = 7476^2 + 5388^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22746 + ... + 26214.

Almost surely, 2^84921120 is an apocalyptic number.

84921120 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 84921120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153464220).

84921120 is an abundant number, since it is smaller than the sum of its proper divisors (222007320).

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

84921120 is a wasteful number, since it uses less digits than its factorization.

84921120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3507 (or 3496 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 84921120 is about 9215.2655957384. The cubic root of 84921120 is about 439.5469165243.

The spelling of 84921120 in words is "eighty-four million, nine hundred twenty-one thousand, one hundred twenty".