87835680 has 144 divisors (see below), whose sum is σ = 302289624. Its totient is φ = 23224320.

The previous prime is 87835673. The next prime is 87835687. The reversal of 87835680 is 8653878.

87835680 = T₁₃₅ + T₁₃₆ + ... + T₈₀₈.

87835680 is a `hidden beast` number, since 8 + 7 + 83 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (87835673) and next prime (87835687).

It can be written as a sum of positive squares in 4 ways, for example, as 31945104 + 55890576 = 5652^2 + 7476^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (87835687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 260472 + ... + 260808.

Almost surely, 2^87835680 is an apocalyptic number.

87835680 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 87835680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151144812).

87835680 is an abundant number, since it is smaller than the sum of its proper divisors (214453944).

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

87835680 is a wasteful number, since it uses less digits than its factorization.

87835680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 87835680 is about 9372.0691418704. The cubic root of 87835680 is about 444.5189937910.

The spelling of 87835680 in words is "eighty-seven million, eight hundred thirty-five thousand, six hundred eighty".