87114240 has 240 divisors, whose sum is σ = 319176000. Its totient is φ = 21897216.

The previous prime is 87114233. The next prime is 87114257. The reversal of 87114240 is 4241178.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 437661 + ... + 437859.

It is an arithmetic number, because the mean of its divisors is an integer number (1329900).

Almost surely, 2^87114240 is an apocalyptic number.

87114240 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 87114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159588000).

87114240 is an abundant number, since it is smaller than the sum of its proper divisors (232061760).

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

87114240 is a wasteful number, since it uses less digits than its factorization.

87114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 87114240 is about 9333.5009508758. The cubic root of 87114240 is about 443.2986248039.

The spelling of 87114240 in words is "eighty-seven million, one hundred fourteen thousand, two hundred forty".