87077848 has 64 divisors (see below), whose sum is σ = 193939200. Its totient is φ = 36132480.

The previous prime is 87077843. The next prime is 87077849. The reversal of 87077848 is 84877078.

It is a super-2 number, since 2×87077848² = 15165103224622208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87077843) by changing a digit.

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, 117463 + ... + 118201.

It is an arithmetic number, because the mean of its divisors is an integer number (3030300).

Almost surely, 2^87077848 is an apocalyptic number.

87077848 is a gapful number since it is divisible by the number (88) 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 87077848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96969600).

87077848 is an abundant number, since it is smaller than the sum of its proper divisors (106861352).

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

87077848 is a wasteful number, since it uses less digits than its factorization.

87077848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 702464, while the sum is 49.

The square root of 87077848 is about 9331.5512108116. The cubic root of 87077848 is about 443.2368868281.

The spelling of 87077848 in words is "eighty-seven million, seventy-seven thousand, eight hundred forty-eight".