68677920 has 144 divisors (see below), whose sum is σ = 240884280. Its totient is φ = 17805312.

The previous prime is 68677919. The next prime is 68677933. The reversal of 68677920 is 2977686.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 68359824 + 318096 = 8268^2 + 564^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 52636 + ... + 53924.

Almost surely, 2^68677920 is an apocalyptic number.

68677920 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 68677920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120442140).

68677920 is an abundant number, since it is smaller than the sum of its proper divisors (172206360).

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

68677920 is a wasteful number, since it uses less digits than its factorization.

68677920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 68677920 is about 8287.2142484673. The cubic root of 68677920 is about 409.5174175348.

It can be divided in two parts, 686 and 77920, that added together give a triangular number (78606 = T₃₉₆).

The spelling of 68677920 in words is "sixty-eight million, six hundred seventy-seven thousand, nine hundred twenty".