64040000 has 70 divisors (see below), whose sum is σ = 158897574. Its totient is φ = 25600000.

The previous prime is 64039999. The next prime is 64040021. The reversal of 64040000 is 4046.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 5914624 + 58125376 = 2432^2 + 7624^2 .

It is a super-2 number, since 2×64040000² = 8202243200000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 39200 + ... + 40800.

Almost surely, 2^64040000 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 64040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79448787).

64040000 is an abundant number, since it is smaller than the sum of its proper divisors (94857574).

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

64040000 is an equidigital number, since it uses as much as digits as its factorization.

64040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 64040000 is about 8002.4996094970. The cubic root of 64040000 is about 400.0833159782.

Adding to 64040000 its reverse (4046), we get a palindrome (64044046).

The spelling of 64040000 in words is "sixty-four million, forty thousand", and thus it is an eban number.