84736320 has 112 divisors (see below), whose sum is σ = 273637248. Its totient is φ = 22210560.

The previous prime is 84736303. The next prime is 84736367. The reversal of 84736320 is 2363748.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57837 + ... + 59283.

Almost surely, 2^84736320 is an apocalyptic number.

84736320 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 84736320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136818624).

84736320 is an abundant number, since it is smaller than the sum of its proper divisors (188900928).

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

84736320 is a wasteful number, since it uses less digits than its factorization.

84736320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 84736320 is about 9205.2332941648. The cubic root of 84736320 is about 439.2278468480.

The spelling of 84736320 in words is "eighty-four million, seven hundred thirty-six thousand, three hundred twenty".