1051896960 has 384 divisors, whose sum is σ = 3864706560. Its totient is φ = 263208960.

The previous prime is 1051896959. The next prime is 1051896971. The reversal of 1051896960 is 696981501.

1051896960 is a `hidden beast` number, since 10 + 518 + 9 + 69 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1051896960² = 2212974428914483200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7678012 + ... + 7678148.

It is an arithmetic number, because the mean of its divisors is an integer number (10064340).

Almost surely, 2^1051896960 is an apocalyptic number.

1051896960 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 1051896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1932353280).

1051896960 is an abundant number, since it is smaller than the sum of its proper divisors (2812809600).

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

1051896960 is a wasteful number, since it uses less digits than its factorization.

1051896960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 1051896960 is about 32432.9610119089. The cubic root of 1051896960 is about 1017.0080721479.

The spelling of 1051896960 in words is "one billion, fifty-one million, eight hundred ninety-six thousand, nine hundred sixty".