64003104 has 144 divisors (see below), whose sum is σ = 201670560. Its totient is φ = 19092480.

The previous prime is 64003097. The next prime is 64003111. The reversal of 64003104 is 40130046.

It is an interprime number because it is at equal distance from previous prime (64003097) and next prime (64003111).

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 (18).

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, 281839 + ... + 282065.

It is an arithmetic number, because the mean of its divisors is an integer number (1400490).

Almost surely, 2^64003104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64003104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100835280).

64003104 is an abundant number, since it is smaller than the sum of its proper divisors (137667456).

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

64003104 is a wasteful number, since it uses less digits than its factorization.

64003104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 64003104 is about 8000.1939976478. The cubic root of 64003104 is about 400.0064665621.

The spelling of 64003104 in words is "sixty-four million, three thousand, one hundred four".