1075413960 has 192 divisors, whose sum is σ = 3639168000. Its totient is φ = 275089920.

The previous prime is 1075413869. The next prime is 1075413979. The reversal of 1075413960 is 693145701.

1075413960 is a `hidden beast` number, since 107 + 541 + 3 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2494945 + ... + 2495375.

It is an arithmetic number, because the mean of its divisors is an integer number (18954000).

Almost surely, 2^1075413960 is an apocalyptic number.

1075413960 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 1075413960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819584000).

1075413960 is an abundant number, since it is smaller than the sum of its proper divisors (2563754040).

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

1075413960 is a wasteful number, since it uses less digits than its factorization.

1075413960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1075413960 is about 32793.5048447097. The cubic root of 1075413960 is about 1024.5312820261.

The spelling of 1075413960 in words is "one billion, seventy-five million, four hundred thirteen thousand, nine hundred sixty".