87340820 has 96 divisors (see below), whose sum is σ = 217728000. Its totient is φ = 28813824.

The previous prime is 87340819. The next prime is 87340823. The reversal of 87340820 is 2804378.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87340823) by changing a digit.

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, 586106 + ... + 586254.

It is an arithmetic number, because the mean of its divisors is an integer number (2268000).

Almost surely, 2^87340820 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 87340820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108864000).

87340820 is an abundant number, since it is smaller than the sum of its proper divisors (130387180).

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

87340820 is a wasteful number, since it uses less digits than its factorization.

87340820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 87340820 is about 9345.6310648345. The cubic root of 87340820 is about 443.6826249623.

The spelling of 87340820 in words is "eighty-seven million, three hundred forty thousand, eight hundred twenty".