64042400 has 108 divisors (see below), whose sum is σ = 166680738. Its totient is φ = 24023040.

The previous prime is 64042397. The next prime is 64042403. The reversal of 64042400 is 424046.

It is an interprime number because it is at equal distance from previous prime (64042397) and next prime (64042403).

It can be written as a sum of positive squares in 9 ways, for example, as 8271376 + 55771024 = 2876^2 + 7468^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (64042403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 231062 + ... + 231338.

Almost surely, 2^64042400 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 64042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83340369).

64042400 is an abundant number, since it is smaller than the sum of its proper divisors (102638338).

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

64042400 is a wasteful number, since it uses less digits than its factorization.

64042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 64042400 is about 8002.6495612391. The cubic root of 64042400 is about 400.0883138336.

Adding to 64042400 its reverse (424046), we get a palindrome (64466446).

The spelling of 64042400 in words is "sixty-four million, forty-two thousand, four hundred".