87569120 has 48 divisors (see below), whose sum is σ = 207567360. Its totient is φ = 34911744.

The previous prime is 87569101. The next prime is 87569123. The reversal of 87569120 is 2196578.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87569123) 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, 60566 + ... + 61994.

It is an arithmetic number, because the mean of its divisors is an integer number (4324320).

Almost surely, 2^87569120 is an apocalyptic number.

87569120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87569120 is an abundant number, since it is smaller than the sum of its proper divisors (119998240).

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

87569120 is a wasteful number, since it uses less digits than its factorization.

87569120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 87569120 is about 9357.8373569965. The cubic root of 87569120 is about 444.0688690077.

The spelling of 87569120 in words is "eighty-seven million, five hundred sixty-nine thousand, one hundred twenty".