1006677040 has 20 divisors (see below), whose sum is σ = 2340524304. Its totient is φ = 402670784.

The previous prime is 1006676987. The next prime is 1006677047. The reversal of 1006677040 is 407766001.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×1006677040³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1006676993 and 1006677011.

It is not an unprimeable number, because it can be changed into a prime (1006677047) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6291652 + ... + 6291811.

Almost surely, 2^1006677040 is an apocalyptic number.

1006677040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006677040 is an abundant number, since it is smaller than the sum of its proper divisors (1333847264).

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

1006677040 is a wasteful number, since it uses less digits than its factorization.

1006677040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12583476 (or 12583470 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 1006677040 is about 31728.1742304848. The cubic root of 1006677040 is about 1002.2207446425.

The spelling of 1006677040 in words is "one billion, six million, six hundred seventy-seven thousand, forty".