84756640 has 96 divisors (see below), whose sum is σ = 209139840. Its totient is φ = 32431104.

The previous prime is 84756631. The next prime is 84756641. The reversal of 84756640 is 4665748.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 84756593 and 84756602.

It is not an unprimeable number, because it can be changed into a prime (84756641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 609691 + ... + 609829.

It is an arithmetic number, because the mean of its divisors is an integer number (2178540).

Almost surely, 2^84756640 is an apocalyptic number.

84756640 is a gapful number since it is divisible by the number (80) 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 84756640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104569920).

84756640 is an abundant number, since it is smaller than the sum of its proper divisors (124383200).

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

84756640 is a wasteful number, since it uses less digits than its factorization.

84756640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 84756640 is about 9206.3369479940. The cubic root of 84756640 is about 439.2629533860.

The spelling of 84756640 in words is "eighty-four million, seven hundred fifty-six thousand, six hundred forty".