87735840 has 96 divisors (see below), whose sum is σ = 282320640. Its totient is φ = 22892544.

The previous prime is 87735833. The next prime is 87735841. The reversal of 87735840 is 4853778.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 87735792 and 87735801.

It is not an unprimeable number, because it can be changed into a prime (87735841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20616 + ... + 24504.

It is an arithmetic number, because the mean of its divisors is an integer number (2940840).

Almost surely, 2^87735840 is an apocalyptic number.

87735840 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 87735840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141160320).

87735840 is an abundant number, since it is smaller than the sum of its proper divisors (194584800).

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

87735840 is a wasteful number, since it uses less digits than its factorization.

87735840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3954 (or 3946 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 87735840 is about 9366.7411622186. The cubic root of 87735840 is about 444.3505064429.

The spelling of 87735840 in words is "eighty-seven million, seven hundred thirty-five thousand, eight hundred forty".