87140160 has 168 divisors, whose sum is σ = 304312320. Its totient is φ = 22883328.

The previous prime is 87140153. The next prime is 87140171. The reversal of 87140160 is 6104178.

87140160 = 273² + 274² + ... + 655².

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 227329 + ... + 227711.

Almost surely, 2^87140160 is an apocalyptic number.

87140160 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 87140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152156160).

87140160 is an abundant number, since it is smaller than the sum of its proper divisors (217172160).

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

87140160 is a wasteful number, since it uses less digits than its factorization.

87140160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 472 counting only the distinct ones).

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

The square root of 87140160 is about 9334.8893940957. The cubic root of 87140160 is about 443.3425868509.

The spelling of 87140160 in words is "eighty-seven million, one hundred forty thousand, one hundred sixty".