84612528 has 240 divisors, whose sum is σ = 318479616. Its totient is φ = 20252160.

The previous prime is 84612527. The next prime is 84612533. The reversal of 84612528 is 82521648.

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 = 84612492 and 84612501.

It is not an unprimeable number, because it can be changed into a prime (84612527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143851 + ... + 144437.

Almost surely, 2^84612528 is an apocalyptic number.

84612528 is a gapful number since it is divisible by the number (88) 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 84612528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159239808).

84612528 is an abundant number, since it is smaller than the sum of its proper divisors (233867088).

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

84612528 is a wasteful number, since it uses less digits than its factorization.

84612528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 623 counting only the distinct ones).

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

The square root of 84612528 is about 9198.5068353511. The cubic root of 84612528 is about 439.0138520578.

The spelling of 84612528 in words is "eighty-four million, six hundred twelve thousand, five hundred twenty-eight".