84669120 has 84 divisors (see below), whose sum is σ = 291236400. Its totient is φ = 22577664.

The previous prime is 84669113. The next prime is 84669139. The reversal of 84669120 is 2196648.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11820 + ... + 17579.

It is an arithmetic number, because the mean of its divisors is an integer number (3467100).

Almost surely, 2^84669120 is an apocalyptic number.

84669120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84669120 is an abundant number, since it is smaller than the sum of its proper divisors (206567280).

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

84669120 is a wasteful number, since it uses less digits than its factorization.

84669120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29422 (or 29409 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 84669120 is about 9201.5824725968. The cubic root of 84669120 is about 439.1117064991. Note that the first 3 decimals are identical.

The spelling of 84669120 in words is "eighty-four million, six hundred sixty-nine thousand, one hundred twenty".