65946944 has 84 divisors (see below), whose sum is σ = 161313876. Its totient is φ = 26578944.

The previous prime is 65946941. The next prime is 65946973. The reversal of 65946944 is 44964956.

It can be written as a sum of positive squares in 2 ways, for example, as 50580544 + 15366400 = 7112^2 + 3920^2 .

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

Its product of digits (933120) is a multiple of the sum of its prime factors (1280).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65946941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52694 + ... + 53930.

Almost surely, 2^65946944 is an apocalyptic number.

65946944 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 65946944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80656938).

65946944 is an abundant number, since it is smaller than the sum of its proper divisors (95366932).

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

65946944 is a wasteful number, since it uses less digits than its factorization.

65946944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1263 counting only the distinct ones).

The product of its digits is 933120, while the sum is 47.

The square root of 65946944 is about 8120.7723770587. The cubic root of 65946944 is about 404.0156841279.

The spelling of 65946944 in words is "sixty-five million, nine hundred forty-six thousand, nine hundred forty-four".