64012000 has 96 divisors (see below), whose sum is σ = 169513344. Its totient is φ = 23616000.

The previous prime is 64011989. The next prime is 64012009. The reversal of 64012000 is 21046.

It is a super-2 number, since 2×64012000² = 8195072288000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64012009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51385 + ... + 52615.

It is an arithmetic number, because the mean of its divisors is an integer number (1765764).

Almost surely, 2^64012000 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 64012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84756672).

64012000 is an abundant number, since it is smaller than the sum of its proper divisors (105501344).

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

64012000 is a wasteful number, since it uses less digits than its factorization.

64012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 64012000 is about 8000.7499648470. The cubic root of 64012000 is about 400.0249984377.

Adding to 64012000 its reverse (21046), we get a palindrome (64033046).

The spelling of 64012000 in words is "sixty-four million, twelve thousand".