87311840 has 192 divisors, whose sum is σ = 271434240. Its totient is φ = 25712640.

The previous prime is 87311839. The next prime is 87311843. The reversal of 87311840 is 4811378.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 87311797 and 87311806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87311843) by changing a digit.

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, 233894 + ... + 234266.

It is an arithmetic number, because the mean of its divisors is an integer number (1413720).

Almost surely, 2^87311840 is an apocalyptic number.

87311840 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 87311840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135717120).

87311840 is an abundant number, since it is smaller than the sum of its proper divisors (184122400).

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

87311840 is a wasteful number, since it uses less digits than its factorization.

87311840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 87311840 is about 9344.0804791055. The cubic root of 87311840 is about 443.6335477006.

The spelling of 87311840 in words is "eighty-seven million, three hundred eleven thousand, eight hundred forty".