84625128 has 128 divisors (see below), whose sum is σ = 271891200. Its totient is φ = 23887872.

The previous prime is 84625097. The next prime is 84625129. The reversal of 84625128 is 82152648.

84625128 is a `hidden beast` number, since 8 + 4 + 625 + 1 + 28 = 666.

It is a super-2 number, since 2×84625128² = 14322824578032768, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 84625092 and 84625101.

It is not an unprimeable number, because it can be changed into a prime (84625129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146376 + ... + 146952.

It is an arithmetic number, because the mean of its divisors is an integer number (2124150).

Almost surely, 2^84625128 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 84625128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135945600).

84625128 is an abundant number, since it is smaller than the sum of its proper divisors (187266072).

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

84625128 is a wasteful number, since it uses less digits than its factorization.

84625128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 686 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 84625128 is about 9199.1917036227. The cubic root of 84625128 is about 439.0356427631.

The spelling of 84625128 in words is "eighty-four million, six hundred twenty-five thousand, one hundred twenty-eight".