1070979840 has 576 divisors, whose sum is σ = 4591641600. Its totient is φ = 230916096.

The previous prime is 1070979839. The next prime is 1070979841. The reversal of 1070979840 is 489790701.

It is an interprime number because it is at equal distance from previous prime (1070979839) and next prime (1070979841).

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1070979840² = 2293995635372851200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1070979841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4596364 + ... + 4596596.

It is an arithmetic number, because the mean of its divisors is an integer number (7971600).

Almost surely, 2^1070979840 is an apocalyptic number.

1070979840 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 1070979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2295820800).

1070979840 is an abundant number, since it is smaller than the sum of its proper divisors (3520661760).

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

1070979840 is a wasteful number, since it uses less digits than its factorization.

1070979840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 1070979840 is about 32725.8283317627. The cubic root of 1070979840 is about 1023.1212350192.

The spelling of 1070979840 in words is "one billion, seventy million, nine hundred seventy-nine thousand, eight hundred forty".