68089984 has 64 divisors (see below), whose sum is σ = 141372000. Its totient is φ = 32643072.

The previous prime is 68089979. The next prime is 68089991. The reversal of 68089984 is 48998086.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×68089984² = 9272491842240512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 489787 + ... + 489925.

Almost surely, 2^68089984 is an apocalyptic number.

68089984 is a gapful number since it is divisible by the number (64) 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 68089984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70686000).

68089984 is an abundant number, since it is smaller than the sum of its proper divisors (73282016).

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

68089984 is a wasteful number, since it uses less digits than its factorization.

68089984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 52.

The square root of 68089984 is about 8251.6655288493. The cubic root of 68089984 is about 408.3454718406.

The spelling of 68089984 in words is "sixty-eight million, eighty-nine thousand, nine hundred eighty-four".