62768340 has 72 divisors (see below), whose sum is σ = 192235680. Its totient is φ = 16576704.

The previous prime is 62768339. The next prime is 62768341. The reversal of 62768340 is 4386726.

It is an interprime number because it is at equal distance from previous prime (62768339) and next prime (62768341).

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 = 62768295 and 62768304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62768341) 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, 17631 + ... + 20889.

It is an arithmetic number, because the mean of its divisors is an integer number (2669940).

Almost surely, 2^62768340 is an apocalyptic number.

62768340 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 62768340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96117840).

62768340 is an abundant number, since it is smaller than the sum of its proper divisors (129467340).

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

62768340 is a wasteful number, since it uses less digits than its factorization.

62768340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3381 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 62768340 is about 7922.6472848411. The cubic root of 62768340 is about 397.4174030353.

The spelling of 62768340 in words is "sixty-two million, seven hundred sixty-eight thousand, three hundred forty".