84114720 has 96 divisors (see below), whose sum is σ = 294416640. Its totient is φ = 22429440.

The previous prime is 84114689. The next prime is 84114721. The reversal of 84114720 is 2741148.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×84114720² = 14150572241356800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (84114721) 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 15 ways as a sum of consecutive naturals, for example, 5416 + ... + 14055.

It is an arithmetic number, because the mean of its divisors is an integer number (3066840).

Almost surely, 2^84114720 is an apocalyptic number.

84114720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84114720 is an abundant number, since it is smaller than the sum of its proper divisors (210301920).

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

84114720 is a wasteful number, since it uses less digits than its factorization.

84114720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19495 (or 19481 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 84114720 is about 9171.4077436346. The cubic root of 84114720 is about 438.1511956908.

Adding to 84114720 its reverse (2741148), we get a palindrome (86855868).

It can be divided in two parts, 8411 and 4720, that added together give a palindrome (13131).

The spelling of 84114720 in words is "eighty-four million, one hundred fourteen thousand, seven hundred twenty".