1126629504 has 384 divisors, whose sum is σ = 4357342080. Its totient is φ = 269844480.

The previous prime is 1126629499. The next prime is 1126629563. The reversal of 1126629504 is 4059266211.

1126629504 is a `hidden beast` number, since 1 + 1 + 26 + 629 + 5 + 0 + 4 = 666.

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

It is a super-4 number, since 4×1126629504⁴ (a number of 37 digits) contains 4444 as substring.

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, 1152664 + ... + 1153640.

It is an arithmetic number, because the mean of its divisors is an integer number (11347245).

Almost surely, 2^1126629504 is an apocalyptic number.

1126629504 is a gapful number since it is divisible by the number (14) 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 1126629504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2178671040).

1126629504 is an abundant number, since it is smaller than the sum of its proper divisors (3230712576).

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

1126629504 is a wasteful number, since it uses less digits than its factorization.

1126629504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1126629504 is about 33565.3020841464. The cubic root of 1126629504 is about 1040.5438181509.

The spelling of 1126629504 in words is "one billion, one hundred twenty-six million, six hundred twenty-nine thousand, five hundred four".