87766224 has 160 divisors (see below), whose sum is σ = 283981824. Its totient is φ = 22740480.

The previous prime is 87766169. The next prime is 87766241. The reversal of 87766224 is 42266778.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 309987 + ... + 310269.

Almost surely, 2^87766224 is an apocalyptic number.

87766224 is a gapful number since it is divisible by the number (84) 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 87766224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141990912).

87766224 is an abundant number, since it is smaller than the sum of its proper divisors (196215600).

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

87766224 is a wasteful number, since it uses less digits than its factorization.

87766224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 379 counting only the distinct ones).

The product of its digits is 225792, while the sum is 42.

The square root of 87766224 is about 9368.3629306299. The cubic root of 87766224 is about 444.4017952038.

It can be divided in two parts, 87766 and 224, that added together give a triangular number (87990 = T₄₁₉).

The spelling of 87766224 in words is "eighty-seven million, seven hundred sixty-six thousand, two hundred twenty-four".