84638540 has 96 divisors (see below), whose sum is σ = 218695680. Its totient is φ = 26866944.

The previous prime is 84638531. The next prime is 84638557. The reversal of 84638540 is 4583648.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 84638494 and 84638503.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124682 + ... + 125358.

It is an arithmetic number, because the mean of its divisors is an integer number (2278080).

Almost surely, 2^84638540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84638540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109347840).

84638540 is an abundant number, since it is smaller than the sum of its proper divisors (134057140).

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

84638540 is a wasteful number, since it uses less digits than its factorization.

84638540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The square root of 84638540 is about 9199.9206518317. The cubic root of 84638540 is about 439.0588353818.

The spelling of 84638540 in words is "eighty-four million, six hundred thirty-eight thousand, five hundred forty".