87301016460 has 192 divisors, whose sum is σ = 326740915200. Its totient is φ = 18904264704.

The previous prime is 87301016437. The next prime is 87301016461. The reversal of 87301016460 is 6461010378.

87301016460 is a `hidden beast` number, since 8 + 7 + 3 + 0 + 1 + 0 + 1 + 646 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (87301016461) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 535957 + ... + 679596.

It is an arithmetic number, because the mean of its divisors is an integer number (1701775600).

Almost surely, 2^87301016460 is an apocalyptic number.

It is an amenable number.

87301016460 is an abundant number, since it is smaller than the sum of its proper divisors (239439898740).

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

87301016460 is a wasteful number, since it uses less digits than its factorization.

87301016460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215597 (or 1215589 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 87301016460 in words is "eighty-seven billion, three hundred one million, sixteen thousand, four hundred sixty".