87617684448 has 240 divisors, whose sum is σ = 297251627904. Its totient is φ = 24799115520.

The previous prime is 87617684447. The next prime is 87617684449. The reversal of 87617684448 is 84448671678.

87617684448 is a `hidden beast` number, since 8 + 7 + 617 + 6 + 8 + 4 + 4 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (87617684447) and next prime (87617684449).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87617684447) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1918843 + ... + 1963973.

Almost surely, 2^87617684448 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 87617684448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148625813952).

87617684448 is an abundant number, since it is smaller than the sum of its proper divisors (209633943456).

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

87617684448 is a wasteful number, since it uses less digits than its factorization.

87617684448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45267 (or 45250 counting only the distinct ones).

The product of its digits is 57802752, while the sum is 63.

The spelling of 87617684448 in words is "eighty-seven billion, six hundred seventeen million, six hundred eighty-four thousand, four hundred forty-eight".