64965960 has 96 divisors (see below), whose sum is σ = 213141240. Its totient is φ = 17160192.

The previous prime is 64965949. The next prime is 64965977. The reversal of 64965960 is 6956946.

It can be written as a sum of positive squares in 4 ways, for example, as 21958596 + 43007364 = 4686^2 + 6558^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39882 + ... + 41478.

Almost surely, 2^64965960 is an apocalyptic number.

64965960 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 64965960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106570620).

64965960 is an abundant number, since it is smaller than the sum of its proper divisors (148175280).

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

64965960 is a wasteful number, since it uses less digits than its factorization.

64965960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 64965960 is about 8060.1464006555. The cubic root of 64965960 is about 402.0023761648.

The spelling of 64965960 in words is "sixty-four million, nine hundred sixty-five thousand, nine hundred sixty".