64466720 has 96 divisors (see below), whose sum is σ = 163377648. Its totient is φ = 23953408.

The previous prime is 64466713. The next prime is 64466729. The reversal of 64466720 is 2766446.

64466720 = T₄₆₈ + T₄₆₉ + ... + T₇₈₇.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 53523856 + 10942864 = 7316^2 + 3308^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64466729) 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, 372554 + ... + 372726.

Almost surely, 2^64466720 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 64466720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81688824).

64466720 is an abundant number, since it is smaller than the sum of its proper divisors (98910928).

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

64466720 is a wasteful number, since it uses less digits than its factorization.

64466720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 64466720 is about 8029.1170124740. The cubic root of 64466720 is about 400.9699792825.

The spelling of 64466720 in words is "sixty-four million, four hundred sixty-six thousand, seven hundred twenty".