87821760 has 224 divisors, whose sum is σ = 311334912. Its totient is φ = 20828160.

The previous prime is 87821759. The next prime is 87821771. The reversal of 87821760 is 6712878.

It is a Smith number, since the sum of its digits (39) 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 (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 386767 + ... + 386993.

It is an arithmetic number, because the mean of its divisors is an integer number (1389888).

Almost surely, 2^87821760 is an apocalyptic number.

87821760 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 87821760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155667456).

87821760 is an abundant number, since it is smaller than the sum of its proper divisors (223513152).

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

87821760 is a wasteful number, since it uses less digits than its factorization.

87821760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The square root of 87821760 is about 9371.3264802802. The cubic root of 87821760 is about 444.4955104287.

The spelling of 87821760 in words is "eighty-seven million, eight hundred twenty-one thousand, seven hundred sixty".