68553984 has 72 divisors (see below), whose sum is σ = 190435392. Its totient is φ = 21852160.

The previous prime is 68553983. The next prime is 68554037. The reversal of 68553984 is 48935586.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68553983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15724 + ... + 19604.

It is an arithmetic number, because the mean of its divisors is an integer number (2644936).

Almost surely, 2^68553984 is an apocalyptic number.

68553984 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 68553984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95217696).

68553984 is an abundant number, since it is smaller than the sum of its proper divisors (121881408).

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

68553984 is a wasteful number, since it uses less digits than its factorization.

68553984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3923 (or 3909 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The square root of 68553984 is about 8279.7333290390. The cubic root of 68553984 is about 409.2709311752.

The spelling of 68553984 in words is "sixty-eight million, five hundred fifty-three thousand, nine hundred eighty-four".