87077952 has 168 divisors, whose sum is σ = 278754840. Its totient is φ = 25804800.

The previous prime is 87077941. The next prime is 87077953. The reversal of 87077952 is 25977078.

It can be written as a sum of positive squares in 4 ways, for example, as 23970816 + 63107136 = 4896^2 + 7944^2 .

It is a junction number, because it is equal to n+sod(n) for n = 87077898 and 87077907.

It is not an unprimeable number, because it can be changed into a prime (87077953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216952 + ... + 217352.

It is an arithmetic number, because the mean of its divisors is an integer number (1659255).

Almost surely, 2^87077952 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 87077952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139377420).

87077952 is an abundant number, since it is smaller than the sum of its proper divisors (191676888).

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

87077952 is a wasteful number, since it uses less digits than its factorization.

87077952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The square root of 87077952 is about 9331.5567833026. The cubic root of 87077952 is about 443.2370632856.

The spelling of 87077952 in words is "eighty-seven million, seventy-seven thousand, nine hundred fifty-two".