87956352 has 144 divisors (see below), whose sum is σ = 278645640. Its totient is φ = 26611200.

The previous prime is 87956287. The next prime is 87956353. The reversal of 87956352 is 25365978.

It is a happy number.

87956352 is a `hidden beast` number, since 8 + 7 + 9 + 5 + 635 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 87956298 and 87956307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87956353) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 139077 + ... + 139707.

Almost surely, 2^87956352 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 87956352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139322820).

87956352 is an abundant number, since it is smaller than the sum of its proper divisors (190689288).

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

87956352 is a wasteful number, since it uses less digits than its factorization.

87956352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 647 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 87956352 is about 9378.5047848791. The cubic root of 87956352 is about 444.7224663436.

The spelling of 87956352 in words is "eighty-seven million, nine hundred fifty-six thousand, three hundred fifty-two".