87105460 has 24 divisors (see below), whose sum is σ = 196992936. Its totient is φ = 32161920.

The previous prime is 87105451. The next prime is 87105463. The reversal of 87105460 is 6450178.

It can be written as a sum of positive squares in 4 ways, for example, as 1468944 + 85636516 = 1212^2 + 9254^2 .

It is a super-2 number, since 2×87105460² = 15174722323623200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87105463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167251 + ... + 167770.

It is an arithmetic number, because the mean of its divisors is an integer number (8208039).

Almost surely, 2^87105460 is an apocalyptic number.

It is an amenable number.

87105460 is an abundant number, since it is smaller than the sum of its proper divisors (109887476).

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

87105460 is a wasteful number, since it uses less digits than its factorization.

87105460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335043 (or 335041 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 87105460 is about 9333.0305903281. The cubic root of 87105460 is about 443.2837313617.

The spelling of 87105460 in words is "eighty-seven million, one hundred five thousand, four hundred sixty".