1050977664 has 192 divisors, whose sum is σ = 3323857680. Its totient is φ = 316108800.

The previous prime is 1050977659. The next prime is 1050977731. The reversal of 1050977664 is 4667790501.

It is a happy number.

1050977664 is a `hidden beast` number, since 10 + 509 + 7 + 76 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1050977664² = 2209108100453793792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2496174 + ... + 2496594.

Almost surely, 2^1050977664 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 1050977664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661928840).

1050977664 is an abundant number, since it is smaller than the sum of its proper divisors (2272880016).

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

1050977664 is a wasteful number, since it uses less digits than its factorization.

1050977664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 1050977664 is about 32418.7856651047. The cubic root of 1050977664 is about 1016.7117174100.

The spelling of 1050977664 in words is "one billion, fifty million, nine hundred seventy-seven thousand, six hundred sixty-four".