84609312 has 48 divisors (see below), whose sum is σ = 223205472. Its totient is φ = 28062720.

The previous prime is 84609307. The next prime is 84609313. The reversal of 84609312 is 21390648.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×84609312² = 14317471354226688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (84609313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18168 + ... + 22344.

It is an arithmetic number, because the mean of its divisors is an integer number (4650114).

Almost surely, 2^84609312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84609312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111602736).

84609312 is an abundant number, since it is smaller than the sum of its proper divisors (138596160).

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

84609312 is a wasteful number, since it uses less digits than its factorization.

84609312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4401 (or 4393 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 84609312 is about 9198.3320227093. The cubic root of 84609312 is about 439.0082898931.

The spelling of 84609312 in words is "eighty-four million, six hundred nine thousand, three hundred twelve".