1461051064 has 64 divisors (see below), whose sum is σ = 3043526400. Its totient is φ = 651974400.

The previous prime is 1461051047. The next prime is 1461051089. The reversal of 1461051064 is 4601501641.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2367684 + ... + 2368300.

It is an arithmetic number, because the mean of its divisors is an integer number (47555100).

Almost surely, 2^1461051064 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 1461051064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521763200).

1461051064 is an abundant number, since it is smaller than the sum of its proper divisors (1582475336).

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

1461051064 is a wasteful number, since it uses less digits than its factorization.

1461051064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 1461051064 is about 38223.6976756567. The cubic root of 1461051064 is about 1134.7193608389.

The spelling of 1461051064 in words is "one billion, four hundred sixty-one million, fifty-one thousand, sixty-four".