61746688 has 40 divisors (see below), whose sum is σ = 124945128. Its totient is φ = 30480384.

The previous prime is 61746679. The next prime is 61746689. The reversal of 61746688 is 88664716.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61746689) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 41770 + ... + 43222.

Almost surely, 2^61746688 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 61746688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62472564).

61746688 is an abundant number, since it is smaller than the sum of its proper divisors (63198440).

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

61746688 is an equidigital number, since it uses as much as digits as its factorization.

61746688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 1538 counting only the distinct ones).

The product of its digits is 387072, while the sum is 46.

The square root of 61746688 is about 7857.9060824115. The cubic root of 61746688 is about 395.2494029276.

The spelling of 61746688 in words is "sixty-one million, seven hundred forty-six thousand, six hundred eighty-eight".