64626000 has 80 divisors (see below), whose sum is σ = 208373568. Its totient is φ = 17232000.

The previous prime is 64625983. The next prime is 64626017. The reversal of 64626000 is 62646.

64626000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (64625983) and next prime (64626017).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 615 + ... + 11385.

Almost surely, 2^64626000 is an apocalyptic number.

64626000 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 64626000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104186784).

64626000 is an abundant number, since it is smaller than the sum of its proper divisors (143747568).

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

64626000 is a wasteful number, since it uses less digits than its factorization.

64626000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10797 (or 10781 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 64626000 is about 8039.0297922075. The cubic root of 64626000 is about 401.2999374965.

Adding to 64626000 its reverse (62646), we get a palindrome (64688646).

The spelling of 64626000 in words is "sixty-four million, six hundred twenty-six thousand".