87529968 has 60 divisors (see below), whose sum is σ = 246781080. Its totient is φ = 28960128.

The previous prime is 87529921. The next prime is 87529969. The reversal of 87529968 is 86992578.

It is a happy number.

It is a super-2 number, since 2×87529968² = 15322990596162048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87529969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17830 + ... + 22202.

It is an arithmetic number, because the mean of its divisors is an integer number (4113018).

Almost surely, 2^87529968 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 87529968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123390540).

87529968 is an abundant number, since it is smaller than the sum of its proper divisors (159251112).

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

87529968 is a wasteful number, since it uses less digits than its factorization.

87529968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4526 (or 4517 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 87529968 is about 9355.7451867823. The cubic root of 87529968 is about 444.0026783379.

The spelling of 87529968 in words is "eighty-seven million, five hundred twenty-nine thousand, nine hundred sixty-eight".