64045800 has 576 divisors, whose sum is σ = 292481280. Its totient is φ = 12165120.

The previous prime is 64045771. The next prime is 64045829. The reversal of 64045800 is 854046.

It is an interprime number because it is at equal distance from previous prime (64045771) and next prime (64045829).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2784589 + ... + 2784611.

It is an arithmetic number, because the mean of its divisors is an integer number (507780).

Almost surely, 2^64045800 is an apocalyptic number.

64045800 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 64045800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146240640).

64045800 is an abundant number, since it is smaller than the sum of its proper divisors (228435480).

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

64045800 is a wasteful number, since it uses less digits than its factorization.

64045800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 64045800 is about 8002.8619880640. The cubic root of 64045800 is about 400.0953939149.

Adding to 64045800 its reverse (854046), we get a palindrome (64899846).

The spelling of 64045800 in words is "sixty-four million, forty-five thousand, eight hundred".