65601952 has 48 divisors (see below), whose sum is σ = 143603712. Its totient is φ = 29295360.

The previous prime is 65601937. The next prime is 65601953. The reversal of 65601952 is 25910656.

It is a happy number.

It is a super-2 number, since 2×65601952² = 8607232212420608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (65601953) 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, 10353 + ... + 15439.

It is an arithmetic number, because the mean of its divisors is an integer number (2991744).

Almost surely, 2^65601952 is an apocalyptic number.

65601952 is a gapful number since it is divisible by the number (62) 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 65601952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71801856).

65601952 is an abundant number, since it is smaller than the sum of its proper divisors (78001760).

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

65601952 is a wasteful number, since it uses less digits than its factorization.

65601952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5141 (or 5133 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 34.

The square root of 65601952 is about 8099.5031946410. The cubic root of 65601952 is about 403.3099352742.

The spelling of 65601952 in words is "sixty-five million, six hundred one thousand, nine hundred fifty-two".