87326890560 has 2016 divisors, whose sum is σ = 409035699072. Its totient is φ = 17557585920.

The previous prime is 87326890537. The next prime is 87326890597. The reversal of 87326890560 is 6509862378.

It is a happy number.

87326890560 is a `hidden beast` number, since 8 + 73 + 2 + 6 + 8 + 9 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×87326890560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 87326890497 and 87326890506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2030857899 + ... + 2030857941.

It is an arithmetic number, because the mean of its divisors is an integer number (202894692).

Almost surely, 2^87326890560 is an apocalyptic number.

87326890560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87326890560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204517849536).

87326890560 is an abundant number, since it is smaller than the sum of its proper divisors (321708808512).

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

87326890560 is a wasteful number, since it uses less digits than its factorization.

87326890560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 87326890560 in words is "eighty-seven billion, three hundred twenty-six million, eight hundred ninety thousand, five hundred sixty".