64006920 has 48 divisors (see below), whose sum is σ = 208023660. Its totient is φ = 17068416.

The previous prime is 64006913. The next prime is 64006927. The reversal of 64006920 is 2960046.

It is an interprime number because it is at equal distance from previous prime (64006913) and next prime (64006927).

It can be written as a sum of positive squares in 2 ways, for example, as 58890276 + 5116644 = 7674^2 + 2262^2 .

It is not an unprimeable number, because it can be changed into a prime (64006927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88539 + ... + 89258.

Almost surely, 2^64006920 is an apocalyptic number.

64006920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64006920 is an abundant number, since it is smaller than the sum of its proper divisors (144016740).

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

64006920 is a wasteful number, since it uses less digits than its factorization.

64006920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177814 (or 177807 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 64006920 is about 8000.4324883096. The cubic root of 64006920 is about 400.0144161471.

Adding to 64006920 its reverse (2960046), we get a palindrome (66966966).

The spelling of 64006920 in words is "sixty-four million, six thousand, nine hundred twenty".