68455920 has 160 divisors (see below), whose sum is σ = 235109952. Its totient is φ = 16367616.

The previous prime is 68455909. The next prime is 68455931. The reversal of 68455920 is 2955486.

It is an interprime number because it is at equal distance from previous prime (68455909) and next prime (68455931).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115144 + ... + 115736.

Almost surely, 2^68455920 is an apocalyptic number.

68455920 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 68455920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117554976).

68455920 is an abundant number, since it is smaller than the sum of its proper divisors (166654032).

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

68455920 is a wasteful number, since it uses less digits than its factorization.

68455920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 68455920 is about 8273.8092798904. The cubic root of 68455920 is about 409.0756889511.

The spelling of 68455920 in words is "sixty-eight million, four hundred fifty-five thousand, nine hundred twenty".