1071260800 has 96 divisors (see below), whose sum is σ = 2731968000. Its totient is φ = 414643200.

The previous prime is 1071260747. The next prime is 1071260803. The reversal of 1071260800 is 80621701.

It is a super-2 number, since 2×1071260800² = 2295199403233280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (1071260803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93801 + ... + 104599.

It is an arithmetic number, because the mean of its divisors is an integer number (28458000).

Almost surely, 2^1071260800 is an apocalyptic number.

1071260800 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 1071260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365984000).

1071260800 is an abundant number, since it is smaller than the sum of its proper divisors (1660707200).

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

1071260800 is a wasteful number, since it uses less digits than its factorization.

1071260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10854 (or 10837 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 1071260800 is about 32730.1206841649. The cubic root of 1071260800 is about 1023.2106954672.

The spelling of 1071260800 in words is "one billion, seventy-one million, two hundred sixty thousand, eight hundred".