87706440 has 192 divisors, whose sum is σ = 305510400. Its totient is φ = 21772800.

The previous prime is 87706439. The next prime is 87706447. The reversal of 87706440 is 4460778.

It is a happy number.

87706440 is a `hidden beast` number, since 8 + 7 + 7 + 0 + 644 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 87706395 and 87706404.

It is not an unprimeable number, because it can be changed into a prime (87706447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 323505 + ... + 323775.

It is an arithmetic number, because the mean of its divisors is an integer number (1591200).

Almost surely, 2^87706440 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 87706440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152755200).

87706440 is an abundant number, since it is smaller than the sum of its proper divisors (217803960).

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

87706440 is a wasteful number, since it uses less digits than its factorization.

87706440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 87706440 is about 9365.1716481867. The cubic root of 87706440 is about 444.3008674190.

The spelling of 87706440 in words is "eighty-seven million, seven hundred six thousand, four hundred forty".