87027642 has 64 divisors (see below), whose sum is σ = 209905920. Its totient is φ = 26568000.

The previous prime is 87027631. The next prime is 87027659. The reversal of 87027642 is 24672078.

87027642 is a `hidden beast` number, since 8 + 7 + 0 + 2 + 7 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 87027597 and 87027606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105592 + ... + 106412.

It is an arithmetic number, because the mean of its divisors is an integer number (3279780).

Almost surely, 2^87027642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87027642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104952960).

87027642 is an abundant number, since it is smaller than the sum of its proper divisors (122878278).

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

87027642 is a wasteful number, since it uses less digits than its factorization.

87027642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 87027642 is about 9328.8607021436. The cubic root of 87027642 is about 443.1516855597.

The spelling of 87027642 in words is "eighty-seven million, twenty-seven thousand, six hundred forty-two".