87339840 has 224 divisors, whose sum is σ = 325672704. Its totient is φ = 19415040.

The previous prime is 87339823. The next prime is 87339841. The reversal of 87339840 is 4893378.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 87339792 and 87339801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87339841) 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, 275362 + ... + 275678.

It is an arithmetic number, because the mean of its divisors is an integer number (1453896).

Almost surely, 2^87339840 is an apocalyptic number.

87339840 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 87339840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162836352).

87339840 is an abundant number, since it is smaller than the sum of its proper divisors (238332864).

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

87339840 is a wasteful number, since it uses less digits than its factorization.

87339840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 87339840 is about 9345.5786337712. The cubic root of 87339840 is about 443.6809655221.

The spelling of 87339840 in words is "eighty-seven million, three hundred thirty-nine thousand, eight hundred forty".