1070040960 has 384 divisors, whose sum is σ = 3969725760. Its totient is φ = 264929280.

The previous prime is 1070040931. The next prime is 1070040973. The reversal of 1070040960 is 690400701.

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

It is a super-2 number, since 2×1070040960² = 2289975312155443200, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

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, 5431582 + ... + 5431778.

Almost surely, 2^1070040960 is an apocalyptic number.

1070040960 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 1070040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984862880).

1070040960 is an abundant number, since it is smaller than the sum of its proper divisors (2899684800).

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

1070040960 is a wasteful number, since it uses less digits than its factorization.

1070040960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1070040960 is about 32711.4805534693. The cubic root of 1070040960 is about 1022.8221727750.

The spelling of 1070040960 in words is "one billion, seventy million, forty thousand, nine hundred sixty".