1006860408 has 64 divisors (see below), whose sum is σ = 2603059200. Its totient is φ = 324205440.

The previous prime is 1006860401. The next prime is 1006860409. The reversal of 1006860408 is 8040686001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006860401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 623410 + ... + 625022.

It is an arithmetic number, because the mean of its divisors is an integer number (40672800).

Almost surely, 2^1006860408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006860408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301529600).

1006860408 is an abundant number, since it is smaller than the sum of its proper divisors (1596198792).

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

1006860408 is a wasteful number, since it uses less digits than its factorization.

1006860408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2492 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 1006860408 is about 31731.0637703812. The cubic root of 1006860408 is about 1002.2815930408.

Subtracting from 1006860408 its sum of digits (33), we obtain a triangular number (1006860375 = T₄₄₈₇₄).

The spelling of 1006860408 in words is "one billion, six million, eight hundred sixty thousand, four hundred eight".