87035676 has 72 divisors (see below), whose sum is σ = 251362944. Its totient is φ = 22950720.

The previous prime is 87035671. The next prime is 87035677. The reversal of 87035676 is 67653078.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87035671) 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 23 ways as a sum of consecutive naturals, for example, 11131 + ... + 17261.

It is an arithmetic number, because the mean of its divisors is an integer number (3491152).

Almost surely, 2^87035676 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 87035676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125681472).

87035676 is an abundant number, since it is smaller than the sum of its proper divisors (164327268).

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

87035676 is a wasteful number, since it uses less digits than its factorization.

87035676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6171 (or 6156 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 87035676 is about 9329.2912914112. The cubic root of 87035676 is about 443.1653217294.

The spelling of 87035676 in words is "eighty-seven million, thirty-five thousand, six hundred seventy-six".