87961000 has 32 divisors (see below), whose sum is σ = 205831080. Its totient is φ = 35184000.

The previous prime is 87960997. The next prime is 87961019. The reversal of 87961000 is 16978.

It can be written as a sum of positive squares in 4 ways, for example, as 4384836 + 83576164 = 2094^2 + 9142^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42981 + ... + 44980.

Almost surely, 2^87961000 is an apocalyptic number.

It is an amenable number.

87961000 is an abundant number, since it is smaller than the sum of its proper divisors (117870080).

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

87961000 is a wasteful number, since it uses less digits than its factorization.

87961000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87982 (or 87968 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 87961000 is about 9378.7525823001. The cubic root of 87961000 is about 444.7302999019.

Adding to 87961000 its reverse (16978), we get a palindrome (87977978).

The spelling of 87961000 in words is "eighty-seven million, nine hundred sixty-one thousand".