84975744 has 128 divisors (see below), whose sum is σ = 261348480. Its totient is φ = 23961600.

The previous prime is 84975727. The next prime is 84975763. The reversal of 84975744 is 44757948.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 84975693 and 84975702.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271332 + ... + 271644.

It is an arithmetic number, because the mean of its divisors is an integer number (2041785).

Almost surely, 2^84975744 is an apocalyptic number.

84975744 is a gapful number since it is divisible by the number (84) 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 84975744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130674240).

84975744 is an abundant number, since it is smaller than the sum of its proper divisors (176372736).

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

84975744 is a wasteful number, since it uses less digits than its factorization.

84975744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 426 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 48.

The square root of 84975744 is about 9218.2288971364. The cubic root of 84975744 is about 439.6411399033.

It can be divided in two parts, 8497 and 5744, that added together give a palindrome (14241).

The spelling of 84975744 in words is "eighty-four million, nine hundred seventy-five thousand, seven hundred forty-four".