1045937664 has 160 divisors (see below), whose sum is σ = 3204036000. Its totient is φ = 336494592.

The previous prime is 1045937657. The next prime is 1045937681. The reversal of 1045937664 is 4667395401.

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, 399592 + ... + 402200.

It is an arithmetic number, because the mean of its divisors is an integer number (20025225).

Almost surely, 2^1045937664 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 1045937664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602018000).

1045937664 is an abundant number, since it is smaller than the sum of its proper divisors (2158098336).

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

1045937664 is an equidigital number, since it uses as much as digits as its factorization.

1045937664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2665 (or 2643 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 1045937664 is about 32340.9595404960. The cubic root of 1045937664 is about 1015.0838870382.

The spelling of 1045937664 in words is "one billion, forty-five million, nine hundred thirty-seven thousand, six hundred sixty-four".