64919040 has 160 divisors (see below), whose sum is σ = 212129280. Its totient is φ = 16932864.

The previous prime is 64919033. The next prime is 64919051. The reversal of 64919040 is 4091946.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 64918992 and 64919010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 606667 + ... + 606773.

It is an arithmetic number, because the mean of its divisors is an integer number (1325808).

Almost surely, 2^64919040 is an apocalyptic number.

64919040 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 64919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106064640).

64919040 is an abundant number, since it is smaller than the sum of its proper divisors (147210240).

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

64919040 is a wasteful number, since it uses less digits than its factorization.

64919040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 64919040 is about 8057.2352578288. The cubic root of 64919040 is about 401.9055742182.

It can be divided in two parts, 649190 and 40, that added together give a triangular number (649230 = T₁₁₃₉).

The spelling of 64919040 in words is "sixty-four million, nine hundred nineteen thousand, forty".