1006625862 has 144 divisors (see below), whose sum is σ = 2623211136. Its totient is φ = 277516800.

The previous prime is 1006625861. The next prime is 1006625887. The reversal of 1006625862 is 2685266001.

1006625862 is a `hidden beast` number, since 10 + 0 + 6 + 62 + 586 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006625861) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1147368 + ... + 1148244.

It is an arithmetic number, because the mean of its divisors is an integer number (18216744).

Almost surely, 2^1006625862 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006625862, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311605568).

1006625862 is an abundant number, since it is smaller than the sum of its proper divisors (1616585274).

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

1006625862 is a wasteful number, since it uses less digits than its factorization.

1006625862 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1006625862 is about 31727.3677130644. The cubic root of 1006625862 is about 1002.2037605386.

The spelling of 1006625862 in words is "one billion, six million, six hundred twenty-five thousand, eight hundred sixty-two".