68533920 has 288 divisors, whose sum is σ = 288392832. Its totient is φ = 14432256.

The previous prime is 68533897. The next prime is 68533939. The reversal of 68533920 is 2933586.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130779 + ... + 131301.

It is an arithmetic number, because the mean of its divisors is an integer number (1001364).

Almost surely, 2^68533920 is an apocalyptic number.

68533920 is a gapful number since it is divisible by the number (60) 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 68533920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144196416).

68533920 is an abundant number, since it is smaller than the sum of its proper divisors (219858912).

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

68533920 is a wasteful number, since it uses less digits than its factorization.

68533920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 68533920 is about 8278.5216071470. The cubic root of 68533920 is about 409.2309995636.

The spelling of 68533920 in words is "sixty-eight million, five hundred thirty-three thousand, nine hundred twenty".