87564042 has 48 divisors (see below), whose sum is σ = 203928192. Its totient is φ = 27054720.

The previous prime is 87564041. The next prime is 87564067. The reversal of 87564042 is 24046578.

87564042 is a `hidden beast` number, since 8 + 7 + 5 + 640 + 4 + 2 = 666.

It is a super-2 number, since 2×87564042² = 15334922902755528, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 87563988 and 87564006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87564041) 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, 18367 + ... + 22637.

It is an arithmetic number, because the mean of its divisors is an integer number (4248504).

Almost surely, 2^87564042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87564042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101964096).

87564042 is an abundant number, since it is smaller than the sum of its proper divisors (116364150).

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

87564042 is a wasteful number, since it uses less digits than its factorization.

87564042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4363 (or 4360 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 87564042 is about 9357.5660296896. The cubic root of 87564042 is about 444.0602852158.

The spelling of 87564042 in words is "eighty-seven million, five hundred sixty-four thousand, forty-two".