68911920 has 360 divisors, whose sum is σ = 293293728. Its totient is φ = 14192640.

The previous prime is 68911907. The next prime is 68911943. The reversal of 68911920 is 2911986.

68911920 = 326² + 327² + ... + 622².

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 609784 + ... + 609896.

Almost surely, 2^68911920 is an apocalyptic number.

68911920 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 68911920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146646864).

68911920 is an abundant number, since it is smaller than the sum of its proper divisors (224381808).

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

68911920 is a wasteful number, since it uses less digits than its factorization.

68911920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 68911920 is about 8301.3203769039. The cubic root of 68911920 is about 409.9819940536.

The spelling of 68911920 in words is "sixty-eight million, nine hundred eleven thousand, nine hundred twenty".