64113840 has 120 divisors (see below), whose sum is σ = 246094368. Its totient is φ = 14653440.

The previous prime is 64113839. The next prime is 64113869. The reversal of 64113840 is 4831146.

64113840 is a `hidden beast` number, since 641 + 13 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×64113840² = 8221168959091200, which contains 22 as substring.

It is a congruent number.

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, 1321 + ... + 11400.

Almost surely, 2^64113840 is an apocalyptic number.

64113840 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 64113840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123047184).

64113840 is an abundant number, since it is smaller than the sum of its proper divisors (181980528).

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

64113840 is a wasteful number, since it uses less digits than its factorization.

64113840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12747 (or 12738 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 64113840 is about 8007.1118388593. Note that the first 3 decimals coincide. The cubic root of 64113840 is about 400.2370261854.

Adding to 64113840 its reverse (4831146), we get a palindrome (68944986).

The spelling of 64113840 in words is "sixty-four million, one hundred thirteen thousand, eight hundred forty".