84956526 has 60 divisors (see below), whose sum is σ = 199966536. Its totient is φ = 26908200.

The previous prime is 84956479. The next prime is 84956527. The reversal of 84956526 is 62565948.

84956526 is a `hidden beast` number, since 84 + 9 + 565 + 2 + 6 = 666.

It is a super-2 number, since 2×84956526² = 14435222619977352, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84956527) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 562551 + ... + 562701.

Almost surely, 2^84956526 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84956526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99983268).

84956526 is an abundant number, since it is smaller than the sum of its proper divisors (115010010).

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

84956526 is a wasteful number, since it uses less digits than its factorization.

84956526 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 179 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 84956526 is about 9217.1864470672. The cubic root of 84956526 is about 439.6079945215.

It can be divided in two parts, 849 and 56526, that added together give a palindrome (57375).

The spelling of 84956526 in words is "eighty-four million, nine hundred fifty-six thousand, five hundred twenty-six".