65672064 has 96 divisors (see below), whose sum is σ = 191076600. Its totient is φ = 21648384.

The previous prime is 65672063. The next prime is 65672069. The reversal of 65672064 is 46027656.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65672063) 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, 125307 + ... + 125829.

Almost surely, 2^65672064 is an apocalyptic number.

65672064 is a gapful number since it is divisible by the number (64) 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 65672064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95538300).

65672064 is an abundant number, since it is smaller than the sum of its proper divisors (125404536).

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

65672064 is a wasteful number, since it uses less digits than its factorization.

65672064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 65672064 is about 8103.8302055263. The cubic root of 65672064 is about 403.4535631068.

The spelling of 65672064 in words is "sixty-five million, six hundred seventy-two thousand, sixty-four".