84146640 has 80 divisors (see below), whose sum is σ = 264798528. Its totient is φ = 22099968.

The previous prime is 84146639. The next prime is 84146659. The reversal of 84146640 is 4664148.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13464 + ... + 18696.

Almost surely, 2^84146640 is an apocalyptic number.

84146640 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 84146640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132399264).

84146640 is an abundant number, since it is smaller than the sum of its proper divisors (180651888).

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

84146640 is a wasteful number, since it uses less digits than its factorization.

84146640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5316 (or 5310 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 84146640 is about 9173.1477694410. The cubic root of 84146640 is about 438.2066121404.

The spelling of 84146640 in words is "eighty-four million, one hundred forty-six thousand, six hundred forty".