87966627840 has 1152 divisors, whose sum is σ = 397949086080. Its totient is φ = 17439916032.

The previous prime is 87966627779. The next prime is 87966627841. The reversal of 87966627840 is 4872666978.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×87966627840² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87966627841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 142571212 + ... + 142571828.

It is an arithmetic number, because the mean of its divisors is an integer number (345441915).

Almost surely, 2^87966627840 is an apocalyptic number.

87966627840 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 87966627840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198974543040).

87966627840 is an abundant number, since it is smaller than the sum of its proper divisors (309982458240).

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

87966627840 is a wasteful number, since it uses less digits than its factorization.

87966627840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

It can be divided in two parts, 87966 and 627840, that added together give a triangular number (715806 = T₁₁₉₆).

The spelling of 87966627840 in words is "eighty-seven billion, nine hundred sixty-six million, six hundred twenty-seven thousand, eight hundred forty".