87835740 has 48 divisors (see below), whose sum is σ = 247898112. Its totient is φ = 23236416.

The previous prime is 87835739. The next prime is 87835747. The reversal of 87835740 is 4753878.

It is a junction number, because it is equal to n+sod(n) for n = 87835692 and 87835701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87835747) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1857 + ... + 13383.

It is an arithmetic number, because the mean of its divisors is an integer number (5164544).

Almost surely, 2^87835740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87835740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123949056).

87835740 is an abundant number, since it is smaller than the sum of its proper divisors (160062372).

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

87835740 is a wasteful number, since it uses less digits than its factorization.

87835740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11666 (or 11664 counting only the distinct ones).

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

The square root of 87835740 is about 9372.0723428706. The cubic root of 87835740 is about 444.5190950070.

The spelling of 87835740 in words is "eighty-seven million, eight hundred thirty-five thousand, seven hundred forty".