65642000 has 80 divisors (see below), whose sum is σ = 165739392. Its totient is φ = 25097600.

The previous prime is 65641999. The next prime is 65642009. The reversal of 65642000 is 24656.

65642000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (65642009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45287 + ... + 46713.

Almost surely, 2^65642000 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 65642000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82869696).

65642000 is an abundant number, since it is smaller than the sum of its proper divisors (100097392).

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

65642000 is a wasteful number, since it uses less digits than its factorization.

65642000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 65642000 is about 8101.9750678461. The cubic root of 65642000 is about 403.3919880698.

Adding to 65642000 its reverse (24656), we get a palindrome (65666656).

The spelling of 65642000 in words is "sixty-five million, six hundred forty-two thousand".