84587152 has 40 divisors (see below), whose sum is σ = 179847864. Its totient is φ = 38298624.

The previous prime is 84587137. The next prime is 84587219. The reversal of 84587152 is 25178548.

It can be written as a sum of positive squares in 4 ways, for example, as 11587216 + 72999936 = 3404^2 + 8544^2 .

It is a super-2 number, since 2×84587152² = 14309972566942208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7188 + ... + 14860.

Almost surely, 2^84587152 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 84587152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89923932).

84587152 is an abundant number, since it is smaller than the sum of its proper divisors (95260712).

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

84587152 is a wasteful number, since it uses less digits than its factorization.

84587152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7747 (or 7741 counting only the distinct ones).

The product of its digits is 89600, while the sum is 40.

The square root of 84587152 is about 9197.1273776109. The cubic root of 84587152 is about 438.9699597026.

The spelling of 84587152 in words is "eighty-four million, five hundred eighty-seven thousand, one hundred fifty-two".