87643760 has 40 divisors (see below), whose sum is σ = 205808256. Its totient is φ = 34707200.

The previous prime is 87643757. The next prime is 87643769. The reversal of 87643760 is 6734678.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87643769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2657 + ... + 13503.

Almost surely, 2^87643760 is an apocalyptic number.

87643760 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 87643760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102904128).

87643760 is an abundant number, since it is smaller than the sum of its proper divisors (118164496).

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

87643760 is a wasteful number, since it uses less digits than its factorization.

87643760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10961 (or 10955 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 41.

The square root of 87643760 is about 9361.8246084831. The cubic root of 87643760 is about 444.1950013233.

The spelling of 87643760 in words is "eighty-seven million, six hundred forty-three thousand, seven hundred sixty".