64567440 has 240 divisors, whose sum is σ = 259054848. Its totient is φ = 14091264.

The previous prime is 64567439. The next prime is 64567441. The reversal of 64567440 is 4476546.

64567440 is a `hidden beast` number, since 645 + 6 + 7 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (64567439) and next prime (64567441).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 64567395 and 64567404.

It is not an unprimeable number, because it can be changed into a prime (64567441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115642 + ... + 116198.

Almost surely, 2^64567440 is an apocalyptic number.

64567440 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 64567440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129527424).

64567440 is an abundant number, since it is smaller than the sum of its proper divisors (194487408).

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

64567440 is a wasteful number, since it uses less digits than its factorization.

64567440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 64567440 is about 8035.3867361814. The cubic root of 64567440 is about 401.1786899799.

The spelling of 64567440 in words is "sixty-four million, five hundred sixty-seven thousand, four hundred forty".