1070208768 has 144 divisors (see below), whose sum is σ = 3043434240. Its totient is φ = 333053952.

The previous prime is 1070208767. The next prime is 1070208817. The reversal of 1070208768 is 8678020701.

It is a super-2 number, since 2×1070208768² = 2290693614208155648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1070208767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 758848 + ... + 760256.

It is an arithmetic number, because the mean of its divisors is an integer number (21134960).

Almost surely, 2^1070208768 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 1070208768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521717120).

1070208768 is an abundant number, since it is smaller than the sum of its proper divisors (1973225472).

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

1070208768 is a wasteful number, since it uses less digits than its factorization.

1070208768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The square root of 1070208768 is about 32714.0454239460. The cubic root of 1070208768 is about 1022.8756376354.

The spelling of 1070208768 in words is "one billion, seventy million, two hundred eight thousand, seven hundred sixty-eight".