84688740 has 120 divisors (see below), whose sum is σ = 270342072. Its totient is φ = 22187520.

The previous prime is 84688727. The next prime is 84688741. The reversal of 84688740 is 4788648.

It can be written as a sum of positive squares in 4 ways, for example, as 6260004 + 78428736 = 2502^2 + 8856^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (84688741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 98392 + ... + 99248.

Almost surely, 2^84688740 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 84688740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135171036).

84688740 is an abundant number, since it is smaller than the sum of its proper divisors (185653332).

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

84688740 is a wasteful number, since it uses less digits than its factorization.

84688740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 84688740 is about 9202.6485318087. The cubic root of 84688740 is about 439.1456216829.

The spelling of 84688740 in words is "eighty-four million, six hundred eighty-eight thousand, seven hundred forty".