87785940 has 96 divisors (see below), whose sum is σ = 279853056. Its totient is φ = 20352640.

The previous prime is 87785933. The next prime is 87785983. The reversal of 87785940 is 4958778.

It is a self number, because there is not a number n which added to its sum of digits gives 87785940.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12289 + ... + 18071.

It is an arithmetic number, because the mean of its divisors is an integer number (2915136).

Almost surely, 2^87785940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87785940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139926528).

87785940 is an abundant number, since it is smaller than the sum of its proper divisors (192067116).

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

87785940 is a wasteful number, since it uses less digits than its factorization.

87785940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5829 (or 5827 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The square root of 87785940 is about 9369.4151364960. The cubic root of 87785940 is about 444.4350698486.

The spelling of 87785940 in words is "eighty-seven million, seven hundred eighty-five thousand, nine hundred forty".