68794920 has 160 divisors (see below), whose sum is σ = 245025000. Its totient is φ = 17252352.

The previous prime is 68794919. The next prime is 68794949. The reversal of 68794920 is 2949786.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 60186564 + 8608356 = 7758^2 + 2934^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 39 ways as a sum of consecutive naturals, for example, 54456 + ... + 55704.

Almost surely, 2^68794920 is an apocalyptic number.

68794920 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 68794920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122512500).

68794920 is an abundant number, since it is smaller than the sum of its proper divisors (176230080).

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

68794920 is a wasteful number, since it uses less digits than its factorization.

68794920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 68794920 is about 8294.2703114861. The cubic root of 68794920 is about 409.7498374790.

The spelling of 68794920 in words is "sixty-eight million, seven hundred ninety-four thousand, nine hundred twenty".