64932000 has 192 divisors, whose sum is σ = 243419904. Its totient is φ = 14822400.

The previous prime is 64931989. The next prime is 64932001. The reversal of 64932000 is 23946.

64932000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (64932001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 83614 + ... + 84386.

It is an arithmetic number, because the mean of its divisors is an integer number (1267812).

Almost surely, 2^64932000 is an apocalyptic number.

64932000 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 64932000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121709952).

64932000 is an abundant number, since it is smaller than the sum of its proper divisors (178487904).

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

64932000 is a wasteful number, since it uses less digits than its factorization.

64932000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 64932000 is about 8058.0394637902. The cubic root of 64932000 is about 401.9323170129.

Adding to 64932000 its reverse (23946), we get a palindrome (64955946).

The spelling of 64932000 in words is "sixty-four million, nine hundred thirty-two thousand".