1076269680 has 200 divisors, whose sum is σ = 3830161104. Its totient is φ = 279936000.

The previous prime is 1076269679. The next prime is 1076269729. The reversal of 1076269680 is 869626701.

1076269680 is a `hidden beast` number, since 10 + 7 + 626 + 9 + 6 + 8 + 0 = 666.

It is a super-3 number, since 3×1076269680³ (a number of 28 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 263655 + ... + 267705.

Almost surely, 2^1076269680 is an apocalyptic number.

1076269680 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 1076269680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915080552).

1076269680 is an abundant number, since it is smaller than the sum of its proper divisors (2753891424).

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

1076269680 is a wasteful number, since it uses less digits than its factorization.

1076269680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4117 (or 4102 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1076269680 is about 32806.5493461290. The cubic root of 1076269680 is about 1024.8029539922.

The spelling of 1076269680 in words is "one billion, seventy-six million, two hundred sixty-nine thousand, six hundred eighty".