87095736 has 240 divisors, whose sum is σ = 307054440. Its totient is φ = 22861440.

The previous prime is 87095731. The next prime is 87095737. The reversal of 87095736 is 63759078.

It is a happy number.

87095736 is a `hidden beast` number, since 8 + 70 + 9 + 573 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 87095691 and 87095700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87095731) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 412671 + ... + 412881.

Almost surely, 2^87095736 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 87095736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153527220).

87095736 is an abundant number, since it is smaller than the sum of its proper divisors (219958704).

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

87095736 is a wasteful number, since it uses less digits than its factorization.

87095736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 87095736 is about 9332.5096303192. The cubic root of 87095736 is about 443.2672354520.

The spelling of 87095736 in words is "eighty-seven million, ninety-five thousand, seven hundred thirty-six".