1076753142 has 128 divisors (see below), whose sum is σ = 2659737600. Its totient is φ = 321358752.

The previous prime is 1076753113. The next prime is 1076753149. The reversal of 1076753142 is 2413576701.

It is a happy number.

1076753142 is a `hidden beast` number, since 10 + 76 + 7 + 531 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1076753097 and 1076753106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1076753149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2430373 + ... + 2430815.

It is an arithmetic number, because the mean of its divisors is an integer number (20779200).

Almost surely, 2^1076753142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1076753142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329868800).

1076753142 is an abundant number, since it is smaller than the sum of its proper divisors (1582984458).

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

1076753142 is a wasteful number, since it uses less digits than its factorization.

1076753142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 1076753142 is about 32813.9168951224. The cubic root of 1076753142 is about 1024.9563787107.

The spelling of 1076753142 in words is "one billion, seventy-six million, seven hundred fifty-three thousand, one hundred forty-two".