64103760 has 360 divisors, whose sum is σ = 264625920. Its totient is φ = 13837824.

The previous prime is 64103747. The next prime is 64103761. The reversal of 64103760 is 6730146.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×64103760² = 8218584092275200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64103761) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 811401 + ... + 811479.

It is an arithmetic number, because the mean of its divisors is an integer number (735072).

Almost surely, 2^64103760 is an apocalyptic number.

64103760 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 64103760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132312960).

64103760 is an abundant number, since it is smaller than the sum of its proper divisors (200522160).

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

64103760 is a wasteful number, since it uses less digits than its factorization.

64103760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 64103760 is about 8006.4823736770. The cubic root of 64103760 is about 400.2160499517.

The spelling of 64103760 in words is "sixty-four million, one hundred three thousand, seven hundred sixty".