1067576640 has 224 divisors, whose sum is σ = 3683788416. Its totient is φ = 260382720.

The previous prime is 1067576639. The next prime is 1067576647. The reversal of 1067576640 is 466757601.

It is a super-2 number, since 2×1067576640² = 2279439764547379200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1067576592 and 1067576601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1067576647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1634554 + ... + 1635206.

It is an arithmetic number, because the mean of its divisors is an integer number (16445484).

Almost surely, 2^1067576640 is an apocalyptic number.

1067576640 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 1067576640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841894208).

1067576640 is an abundant number, since it is smaller than the sum of its proper divisors (2616211776).

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

1067576640 is a wasteful number, since it uses less digits than its factorization.

1067576640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 1067576640 is about 32673.7913318917. The cubic root of 1067576640 is about 1022.0363777529.

The spelling of 1067576640 in words is "one billion, sixty-seven million, five hundred seventy-six thousand, six hundred forty".