1075837950 has 480 divisors, whose sum is σ = 3629767680. Its totient is φ = 233280000.

The previous prime is 1075837927. The next prime is 1075837967. The reversal of 1075837950 is 597385701.

1075837950 is a `hidden beast` number, since 10 + 7 + 583 + 7 + 9 + 50 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 1075837896 and 1075837905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 26239930 + ... + 26239970.

It is an arithmetic number, because the mean of its divisors is an integer number (7562016).

Almost surely, 2^1075837950 is an apocalyptic number.

1075837950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1075837950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814883840).

1075837950 is an abundant number, since it is smaller than the sum of its proper divisors (2553929730).

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

1075837950 is a wasteful number, since it uses less digits than its factorization.

1075837950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The square root of 1075837950 is about 32799.9687499851. The cubic root of 1075837950 is about 1024.6659073765.

The spelling of 1075837950 in words is "one billion, seventy-five million, eight hundred thirty-seven thousand, nine hundred fifty".