1465616064 has 112 divisors (see below), whose sum is σ = 4244279040. Its totient is φ = 442659840.

The previous prime is 1465616059. The next prime is 1465616069. The reversal of 1465616064 is 4606165641.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1465616059) and next prime (1465616069).

It is not an unprimeable number, because it can be changed into a prime (1465616069) 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, 757242 + ... + 759174.

Almost surely, 2^1465616064 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 1465616064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122139520).

1465616064 is an abundant number, since it is smaller than the sum of its proper divisors (2778662976).

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

1465616064 is a wasteful number, since it uses less digits than its factorization.

1465616064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2318 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 1465616064 is about 38283.3653693089. The cubic root of 1465616064 is about 1135.8999283666.

The spelling of 1465616064 in words is "one billion, four hundred sixty-five million, six hundred sixteen thousand, sixty-four".