84318760 has 64 divisors (see below), whose sum is σ = 199687680. Its totient is φ = 31998720.

The previous prime is 84318733. The next prime is 84318781. The reversal of 84318760 is 6781348.

84318760 = T₇₄₉₆ + T₇₄₉₇ + T₇₄₉₈.

It is a happy number.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

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, 65079 + ... + 66361.

It is an arithmetic number, because the mean of its divisors is an integer number (3120120).

Almost surely, 2^84318760 is an apocalyptic number.

84318760 is the 7498-th centered triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84318760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99843840).

84318760 is an abundant number, since it is smaller than the sum of its proper divisors (115368920).

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

84318760 is a wasteful number, since it uses less digits than its factorization.

84318760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 84318760 is about 9182.5247072905. The cubic root of 84318760 is about 438.5051891418.

It can be divided in two parts, 84318 and 760, that added together give a triangular number (85078 = T₄₁₂).

The spelling of 84318760 in words is "eighty-four million, three hundred eighteen thousand, seven hundred sixty".