87461000646 has 64 divisors (see below), whose sum is σ = 191212185600. Its totient is φ = 26583613056.

The previous prime is 87461000629. The next prime is 87461000651. The reversal of 87461000646 is 64600016478.

It is a super-3 number, since 3×87461000646³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 87461000598 and 87461000607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177840 + ... + 454476.

It is an arithmetic number, because the mean of its divisors is an integer number (2987690400).

Almost surely, 2^87461000646 is an apocalyptic number.

87461000646 is the 158079-th nonagonal number.

87461000646 is an abundant number, since it is smaller than the sum of its proper divisors (103751184954).

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

87461000646 is a wasteful number, since it uses less digits than its factorization.

87461000646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276773.

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 87461000646 in words is "eighty-seven billion, four hundred sixty-one million, six hundred forty-six", and thus it is an aban number.