64859040 has 144 divisors (see below), whose sum is σ = 224727048. Its totient is φ = 17031168.

The previous prime is 64859023. The next prime is 64859071. The reversal of 64859040 is 4095846.

64859040 is a `hidden beast` number, since 64 + 8 + 590 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35569296 + 29289744 = 5964^2 + 5412^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 = 64858986 and 64859004.

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, 104812 + ... + 105428.

Almost surely, 2^64859040 is an apocalyptic number.

64859040 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 64859040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112363524).

64859040 is an abundant number, since it is smaller than the sum of its proper divisors (159868008).

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

64859040 is a wasteful number, since it uses less digits than its factorization.

64859040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 64859040 is about 8053.5110355670. The cubic root of 64859040 is about 401.7817185804.

The spelling of 64859040 in words is "sixty-four million, eight hundred fifty-nine thousand, forty".