87668541 has 32 divisors (see below), whose sum is σ = 138153600. Its totient is φ = 54754560.

The previous prime is 87668491. The next prime is 87668557. The reversal of 87668541 is 14586678.

It is a happy number.

It is not a de Polignac number, because 87668541 - 2¹⁷ = 87537469 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87669541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178306 + ... + 178796.

It is an arithmetic number, because the mean of its divisors is an integer number (4317300).

Almost surely, 2^87668541 is an apocalyptic number.

It is an amenable number.

87668541 is a deficient number, since it is larger than the sum of its proper divisors (50485059).

87668541 is a wasteful number, since it uses less digits than its factorization.

87668541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 900 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 87668541 is about 9363.1480283076. The cubic root of 87668541 is about 444.2368622956.

It can be divided in two parts, 87668 and 541, that added together give a square (88209 = 297²).

The spelling of 87668541 in words is "eighty-seven million, six hundred sixty-eight thousand, five hundred forty-one".