87914606208 has 512 divisors, whose sum is σ = 297701671680. Its totient is φ = 22570598400.

The previous prime is 87914606207. The next prime is 87914606231. The reversal of 87914606208 is 80260641978.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (87914606207) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38272516 + ... + 38274812.

Almost surely, 2^87914606208 is an apocalyptic number.

87914606208 is a gapful number since it is divisible by the number (88) 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 87914606208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148850835840).

87914606208 is an abundant number, since it is smaller than the sum of its proper divisors (209787065472).

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

87914606208 is a wasteful number, since it uses less digits than its factorization.

87914606208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2396 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 87914606208 in words is "eighty-seven billion, nine hundred fourteen million, six hundred six thousand, two hundred eight".