64608840 has 288 divisors, whose sum is σ = 241375680. Its totient is φ = 15510528.

The previous prime is 64608811. The next prime is 64608851. The reversal of 64608840 is 4880646.

64608840 is a `hidden beast` number, since 6 + 4 + 608 + 8 + 40 = 666.

It is a super-2 number, since 2×64608840² = 8348604412291200, which contains 22 as substring.

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 = 64608795 and 64608804.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2809069 + ... + 2809091.

It is an arithmetic number, because the mean of its divisors is an integer number (838110).

Almost surely, 2^64608840 is an apocalyptic number.

64608840 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 64608840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120687840).

64608840 is an abundant number, since it is smaller than the sum of its proper divisors (176766840).

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

64608840 is a wasteful number, since it uses less digits than its factorization.

64608840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 64608840 is about 8037.9624283770. The cubic root of 64608840 is about 401.2644155883.

The spelling of 64608840 in words is "sixty-four million, six hundred eight thousand, eight hundred forty".