65646240 has 96 divisors (see below), whose sum is σ = 225602496. Its totient is φ = 15912960.

The previous prime is 65646233. The next prime is 65646241. The reversal of 65646240 is 4264656.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×65646240² = 8618857652275200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (65646241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 937 + ... + 11496.

It is an arithmetic number, because the mean of its divisors is an integer number (2350026).

Almost surely, 2^65646240 is an apocalyptic number.

65646240 is a gapful number since it is divisible by the number (60) 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 65646240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112801248).

65646240 is an abundant number, since it is smaller than the sum of its proper divisors (159956256).

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

65646240 is a wasteful number, since it uses less digits than its factorization.

65646240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12462 (or 12454 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 65646240 is about 8102.2367282128. The cubic root of 65646240 is about 403.4006732877.

The spelling of 65646240 in words is "sixty-five million, six hundred forty-six thousand, two hundred forty".