64365840 has 480 divisors, whose sum is σ = 285981696. Its totient is φ = 13063680.

The previous prime is 64365839. The next prime is 64365853. The reversal of 64365840 is 4856346.

64365840 is a `hidden beast` number, since 643 + 6 + 5 + 8 + 4 + 0 = 666.

It is a super-2 number, since 2×64365840² = 8285922717811200, 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 = 64365795 and 64365804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1496859 + ... + 1496901.

Almost surely, 2^64365840 is an apocalyptic number.

64365840 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 64365840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142990848).

64365840 is an abundant number, since it is smaller than the sum of its proper divisors (221615856).

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

64365840 is a wasteful number, since it uses less digits than its factorization.

64365840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 64365840 is about 8022.8324175443. The cubic root of 64365840 is about 400.7607190160.

The spelling of 64365840 in words is "sixty-four million, three hundred sixty-five thousand, eight hundred forty".