87212160 has 384 divisors, whose sum is σ = 362793600. Its totient is φ = 19740672.

The previous prime is 87212149. The next prime is 87212161. The reversal of 87212160 is 6121278.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87212161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 846669 + ... + 846771.

It is an arithmetic number, because the mean of its divisors is an integer number (944775).

Almost surely, 2^87212160 is an apocalyptic number.

87212160 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 87212160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181396800).

87212160 is an abundant number, since it is smaller than the sum of its proper divisors (275581440).

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

87212160 is a wasteful number, since it uses less digits than its factorization.

87212160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 87212160 is about 9338.7450977099. The cubic root of 87212160 is about 443.4646579249.

The spelling of 87212160 in words is "eighty-seven million, two hundred twelve thousand, one hundred sixty".