87206560 has 48 divisors (see below), whose sum is σ = 235460736. Its totient is φ = 29899008.

The previous prime is 87206557. The next prime is 87206563. The reversal of 87206560 is 6560278.

It is an interprime number because it is at equal distance from previous prime (87206557) and next prime (87206563).

It is not an unprimeable number, because it can be changed into a prime (87206563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37812 + ... + 40051.

It is an arithmetic number, because the mean of its divisors is an integer number (4905432).

Almost surely, 2^87206560 is an apocalyptic number.

87206560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87206560 is an abundant number, since it is smaller than the sum of its proper divisors (148254176).

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

87206560 is a wasteful number, since it uses less digits than its factorization.

87206560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77885 (or 77877 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 87206560 is about 9338.4452667454. The cubic root of 87206560 is about 443.4551659181.

The spelling of 87206560 in words is "eighty-seven million, two hundred six thousand, five hundred sixty".