1006629120 has 720 divisors, whose sum is σ = 4392474240. Its totient is φ = 214990848.

The previous prime is 1006629059. The next prime is 1006629131. The reversal of 1006629120 is 219266001.

1006629120 is a `hidden beast` number, since 10 + 0 + 6 + 629 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13789404 + ... + 13789476.

Almost surely, 2^1006629120 is an apocalyptic number.

1006629120 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 1006629120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2196237120).

1006629120 is an abundant number, since it is smaller than the sum of its proper divisors (3385845120).

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

1006629120 is an equidigital number, since it uses as much as digits as its factorization.

1006629120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1006629120 is about 31727.4190567087. The cubic root of 1006629120 is about 1002.2048417666.

The spelling of 1006629120 in words is "one billion, six million, six hundred twenty-nine thousand, one hundred twenty".