61626768 has 80 divisors (see below), whose sum is σ = 192666240. Its totient is φ = 16570368.

The previous prime is 61626767. The next prime is 61626779. The reversal of 61626768 is 86762616.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (61626767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318 + ... + 11106.

It is an arithmetic number, because the mean of its divisors is an integer number (2408328).

Almost surely, 2^61626768 is an apocalyptic number.

61626768 is a gapful number since it is divisible by the number (68) 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 61626768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96333120).

61626768 is an abundant number, since it is smaller than the sum of its proper divisors (131039472).

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

61626768 is a wasteful number, since it uses less digits than its factorization.

61626768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10824 (or 10818 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 61626768 is about 7850.2718424269. The cubic root of 61626768 is about 394.9933620633.

The spelling of 61626768 in words is "sixty-one million, six hundred twenty-six thousand, seven hundred sixty-eight".