1006747056 has 240 divisors, whose sum is σ = 3392782848. Its totient is φ = 283046400.

The previous prime is 1006747037. The next prime is 1006747061. The reversal of 1006747056 is 6507476001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1006747056.

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, 1932076 + ... + 1932596.

Almost surely, 2^1006747056 is an apocalyptic number.

1006747056 is a gapful number since it is divisible by the number (16) 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 1006747056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696391424).

1006747056 is an abundant number, since it is smaller than the sum of its proper divisors (2386035792).

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

1006747056 is an equidigital number, since it uses as much as digits as its factorization.

1006747056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 604 counting only the distinct ones).

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

The square root of 1006747056 is about 31729.2775839602. The cubic root of 1006747056 is about 1002.2439794564.

The spelling of 1006747056 in words is "one billion, six million, seven hundred forty-seven thousand, fifty-six".