84738560 has 80 divisors (see below), whose sum is σ = 206236800. Its totient is φ = 33386496.

The previous prime is 84738553. The next prime is 84738569. The reversal of 84738560 is 6583748.

84738560 = T₁₄₂₅ + T₁₄₂₆ + ... + T₁₅₀₃.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (84738569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202031 + ... + 202449.

It is an arithmetic number, because the mean of its divisors is an integer number (2577960).

Almost surely, 2^84738560 is an apocalyptic number.

84738560 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 84738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103118400).

84738560 is an abundant number, since it is smaller than the sum of its proper divisors (121498240).

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

84738560 is an equidigital number, since it uses as much as digits as its factorization.

84738560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 84738560 is about 9205.3549632809. The cubic root of 84738560 is about 439.2317171353.

The spelling of 84738560 in words is "eighty-four million, seven hundred thirty-eight thousand, five hundred sixty".