1006654032 has 120 divisors (see below), whose sum is σ = 2931825000. Its totient is φ = 322043904.

The previous prime is 1006654007. The next prime is 1006654057. The reversal of 1006654032 is 2304566001.

1006654032 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 654 + 0 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1006654007) and next prime (1006654057).

It can be written as a sum of positive squares in 4 ways, for example, as 49617936 + 957036096 = 7044^2 + 30936^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1006653987 and 1006654005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 805344 + ... + 806592.

It is an arithmetic number, because the mean of its divisors is an integer number (24431875).

Almost surely, 2^1006654032 is an apocalyptic number.

1006654032 is a gapful number since it is divisible by the number (12) 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 1006654032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465912500).

1006654032 is an abundant number, since it is smaller than the sum of its proper divisors (1925170968).

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

1006654032 is a wasteful number, since it uses less digits than its factorization.

1006654032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1006654032 is about 31727.8116484576. The cubic root of 1006654032 is about 1002.2131092012.

The spelling of 1006654032 in words is "one billion, six million, six hundred fifty-four thousand, thirty-two".