1076429952 has 384 divisors, whose sum is σ = 3658536000. Its totient is φ = 310542336.

The previous prime is 1076429927. The next prime is 1076429983. The reversal of 1076429952 is 2599246701.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 1076429898 and 1076429907.

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, 11097168 + ... + 11097264.

Almost surely, 2^1076429952 is an apocalyptic number.

1076429952 is a gapful number since it is divisible by the number (12) 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 1076429952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829268000).

1076429952 is an abundant number, since it is smaller than the sum of its proper divisors (2582106048).

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

1076429952 is a wasteful number, since it uses less digits than its factorization.

1076429952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 1076429952 is about 32808.9919381867. The cubic root of 1076429952 is about 1024.8538207560.

The spelling of 1076429952 in words is "one billion, seventy-six million, four hundred twenty-nine thousand, nine hundred fifty-two".