61146688 has 56 divisors (see below), whose sum is σ = 131563872. Its totient is φ = 28084224.

The previous prime is 61146667. The next prime is 61146689. The reversal of 61146688 is 88664116.

It is a self number, because there is not a number n which added to its sum of digits gives 61146688.

It is not an unprimeable number, because it can be changed into a prime (61146689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46131 + ... + 47437.

Almost surely, 2^61146688 is an apocalyptic number.

61146688 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 61146688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65781936).

61146688 is an abundant number, since it is smaller than the sum of its proper divisors (70417184).

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

61146688 is a wasteful number, since it uses less digits than its factorization.

61146688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1369 counting only the distinct ones).

The product of its digits is 55296, while the sum is 40.

The square root of 61146688 is about 7819.6347740799. The cubic root of 61146688 is about 393.9650050085.

The spelling of 61146688 in words is "sixty-one million, one hundred forty-six thousand, six hundred eighty-eight".