1064877120 has 168 divisors, whose sum is σ = 3741139584. Its totient is φ = 277890048.

The previous prime is 1064877109. The next prime is 1064877169. The reversal of 1064877120 is 217784601.

1064877120 is a `hidden beast` number, since 1 + 0 + 648 + 7 + 7 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×1064877120² = 2267926561398988800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131427 + ... + 139293.

It is an arithmetic number, because the mean of its divisors is an integer number (22268688).

Almost surely, 2^1064877120 is an apocalyptic number.

1064877120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1064877120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870569792).

1064877120 is an abundant number, since it is smaller than the sum of its proper divisors (2676262464).

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

1064877120 is a wasteful number, since it uses less digits than its factorization.

1064877120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7937 (or 7924 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 1064877120 is about 32632.4550103114. The cubic root of 1064877120 is about 1021.1741956461.

The spelling of 1064877120 in words is "one billion, sixty-four million, eight hundred seventy-seven thousand, one hundred twenty".