87102241632 has 432 divisors, whose sum is σ = 303756197472. Its totient is φ = 23559782400.

The previous prime is 87102241627. The next prime is 87102241637. The reversal of 87102241632 is 23614220178.

It is a happy number.

87102241632 is a `hidden beast` number, since 8 + 7 + 10 + 2 + 2 + 4 + 1 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (87102241627) and next prime (87102241637).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87102241637) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32780848 + ... + 32783504.

It is an arithmetic number, because the mean of its divisors is an integer number (703139346).

Almost surely, 2^87102241632 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 87102241632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151878098736).

87102241632 is an abundant number, since it is smaller than the sum of its proper divisors (216653955840).

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

87102241632 is a wasteful number, since it uses less digits than its factorization.

87102241632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2811 (or 2793 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 87102241632 in words is "eighty-seven billion, one hundred two million, two hundred forty-one thousand, six hundred thirty-two".