84755748 has 96 divisors (see below), whose sum is σ = 255144960. Its totient is φ = 21248640.

The previous prime is 84755747. The next prime is 84755813.

84755748 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 84755697 and 84755706.

It is not an unprimeable number, because it can be changed into a prime (84755743) 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, 25215 + ... + 28377.

It is an arithmetic number, because the mean of its divisors is an integer number (2657760).

Almost surely, 2^84755748 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 84755748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127572480).

84755748 is an abundant number, since it is smaller than the sum of its proper divisors (170389212).

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

84755748 is a wasteful number, since it uses less digits than its factorization.

84755748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3217 (or 3215 counting only the distinct ones).

The product of its digits is 1254400, while the sum is 48.

The square root of 84755748 is about 9206.2885029745. The cubic root of 84755748 is about 439.2614124097.

The spelling of 84755748 in words is "eighty-four million, seven hundred fifty-five thousand, seven hundred forty-eight".