1006697560 has 64 divisors (see below), whose sum is σ = 2475943200. Its totient is φ = 365337600.

The previous prime is 1006697537. The next prime is 1006697581. The reversal of 1006697560 is 657966001.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248350 + ... + 252370.

Almost surely, 2^1006697560 is an apocalyptic number.

1006697560 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 1006697560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237971600).

1006697560 is an abundant number, since it is smaller than the sum of its proper divisors (1469245640).

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

1006697560 is a wasteful number, since it uses less digits than its factorization.

1006697560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4612 (or 4608 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 1006697560 is about 31728.4976007374. The cubic root of 1006697560 is about 1002.2275543174.

The spelling of 1006697560 in words is "one billion, six million, six hundred ninety-seven thousand, five hundred sixty".