61662128 has 80 divisors (see below), whose sum is σ = 141981984. Its totient is φ = 25620480.

The previous prime is 61662127. The next prime is 61662157. The reversal of 61662128 is 82126616.

It is a junction number, because it is equal to n+sod(n) for n = 61662094 and 61662103.

It is not an unprimeable number, because it can be changed into a prime (61662121) 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, 110426 + ... + 110982.

Almost surely, 2^61662128 is an apocalyptic number.

61662128 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 61662128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70990992).

61662128 is an abundant number, since it is smaller than the sum of its proper divisors (80319856).

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

61662128 is a wasteful number, since it uses less digits than its factorization.

61662128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 624 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 61662128 is about 7852.5236707698. The cubic root of 61662128 is about 395.0688936074.

The spelling of 61662128 in words is "sixty-one million, six hundred sixty-two thousand, one hundred twenty-eight".