84066120 has 64 divisors (see below), whose sum is σ = 280224000. Its totient is φ = 22417344.

The previous prime is 84066067. The next prime is 84066131. The reversal of 84066120 is 2166048.

84066120 is a `hidden beast` number, since 8 + 40 + 6 + 612 + 0 = 666.

It is a super-2 number, since 2×84066120² = 14134225063708800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 37840 + ... + 39999.

It is an arithmetic number, because the mean of its divisors is an integer number (4378500).

Almost surely, 2^84066120 is an apocalyptic number.

It is an amenable number.

84066120 is an abundant number, since it is smaller than the sum of its proper divisors (196157880).

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

84066120 is a wasteful number, since it uses less digits than its factorization.

84066120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77859 (or 77849 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 84066120 is about 9168.7578220826. The cubic root of 84066120 is about 438.0667940920.

The spelling of 84066120 in words is "eighty-four million, sixty-six thousand, one hundred twenty".