87943680 has 240 divisors, whose sum is σ = 333219744. Its totient is φ = 21258240.

The previous prime is 87943673. The next prime is 87943693. The reversal of 87943680 is 8634978.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253267 + ... + 253613.

Almost surely, 2^87943680 is an apocalyptic number.

87943680 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 87943680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166609872).

87943680 is an abundant number, since it is smaller than the sum of its proper divisors (245276064).

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

87943680 is a wasteful number, since it uses less digits than its factorization.

87943680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 87943680 is about 9377.8291731082. The cubic root of 87943680 is about 444.7011080463.

The spelling of 87943680 in words is "eighty-seven million, nine hundred forty-three thousand, six hundred eighty".