68820048 has 120 divisors (see below), whose sum is σ = 219360960. Its totient is φ = 19937280.

The previous prime is 68820047. The next prime is 68820049. The reversal of 68820048 is 84002886.

It is an interprime number because it is at equal distance from previous prime (68820047) and next prime (68820049).

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

It is a junction number, because it is equal to n+sod(n) for n = 68819994 and 68820021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68820041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35488 + ... + 37376.

It is an arithmetic number, because the mean of its divisors is an integer number (1828008).

Almost surely, 2^68820048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68820048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109680480).

68820048 is an abundant number, since it is smaller than the sum of its proper divisors (150540912).

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

68820048 is a wasteful number, since it uses less digits than its factorization.

68820048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 68820048 is about 8295.7849538184. The cubic root of 68820048 is about 409.7997197503.

It can be divided in two parts, 688 and 20048, that added together give a 4-th power (20736 = 12⁴).

The spelling of 68820048 in words is "sixty-eight million, eight hundred twenty thousand, forty-eight".