87693120 has 84 divisors (see below), whose sum is σ = 301637700. Its totient is φ = 23384064.

The previous prime is 87693107. The next prime is 87693121. The reversal of 87693120 is 2139678.

It can be written as a sum of positive squares in 2 ways, for example, as 19927296 + 67765824 = 4464^2 + 8232^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87693121) 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 11 ways as a sum of consecutive naturals, for example, 12345 + ... + 18104.

It is an arithmetic number, because the mean of its divisors is an integer number (3590925).

Almost surely, 2^87693120 is an apocalyptic number.

87693120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87693120 is an abundant number, since it is smaller than the sum of its proper divisors (213944580).

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

87693120 is a wasteful number, since it uses less digits than its factorization.

87693120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30472 (or 30459 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 87693120 is about 9364.4604756494. The cubic root of 87693120 is about 444.2783742506.

The spelling of 87693120 in words is "eighty-seven million, six hundred ninety-three thousand, one hundred twenty".