1076352640 has 128 divisors (see below), whose sum is σ = 2867685120. Its totient is φ = 382955520.

The previous prime is 1076352631. The next prime is 1076352649. The reversal of 1076352640 is 462536701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1076352631) and next prime (1076352649).

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1076352596 and 1076352605.

It is not an unprimeable number, because it can be changed into a prime (1076352649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 329254 + ... + 332506.

It is an arithmetic number, because the mean of its divisors is an integer number (22403790).

Almost surely, 2^1076352640 is an apocalyptic number.

1076352640 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 1076352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433842560).

1076352640 is an abundant number, since it is smaller than the sum of its proper divisors (1791332480).

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

1076352640 is a wasteful number, since it uses less digits than its factorization.

1076352640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3330 (or 3318 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 1076352640 is about 32807.8137034457. The cubic root of 1076352640 is about 1024.8292842792.

The spelling of 1076352640 in words is "one billion, seventy-six million, three hundred fifty-two thousand, six hundred forty".