61906944 has 112 divisors (see below), whose sum is σ = 180868320. Its totient is φ = 18677760.

The previous prime is 61906939. The next prime is 61906951. The reversal of 61906944 is 44960916.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 270222 + ... + 270450.

Almost surely, 2^61906944 is an apocalyptic number.

61906944 is a gapful number since it is divisible by the number (64) 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 61906944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90434160).

61906944 is an abundant number, since it is smaller than the sum of its proper divisors (118961376).

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

61906944 is a wasteful number, since it uses less digits than its factorization.

61906944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 61906944 is about 7868.0965932047. The cubic root of 61906944 is about 395.5910480761.

The spelling of 61906944 in words is "sixty-one million, nine hundred six thousand, nine hundred forty-four".