84386880 has 112 divisors (see below), whose sum is σ = 297728640. Its totient is φ = 22500864.

The previous prime is 84386833. The next prime is 84386909. The reversal of 84386880 is 8868348.

It is a super-2 number, since 2×84386880² = 14242291032268800, which contains 22 as substring.

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

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, 3757 + ... + 13523.

Almost surely, 2^84386880 is an apocalyptic number.

84386880 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 84386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148864320).

84386880 is an abundant number, since it is smaller than the sum of its proper divisors (213341760).

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

84386880 is a wasteful number, since it uses less digits than its factorization.

84386880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9793 (or 9777 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 84386880 is about 9186.2331779680. The cubic root of 84386880 is about 438.6232448508.

The spelling of 84386880 in words is "eighty-four million, three hundred eighty-six thousand, eight hundred eighty".