1006658352 has 240 divisors, whose sum is σ = 3336840000. Its totient is φ = 283143168.

The previous prime is 1006658351. The next prime is 1006658431. The reversal of 1006658352 is 2538566001.

1006658352 is a `hidden beast` number, since 10 + 0 + 66 + 583 + 5 + 2 = 666.

It is a super-2 number, since 2×1006658352² = 2026722075302711808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (1006658351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4395774 + ... + 4396002.

It is an arithmetic number, because the mean of its divisors is an integer number (13903500).

Almost surely, 2^1006658352 is an apocalyptic number.

1006658352 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 1006658352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668420000).

1006658352 is an abundant number, since it is smaller than the sum of its proper divisors (2330181648).

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

1006658352 is a wasteful number, since it uses less digits than its factorization.

1006658352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1006658352 is about 31727.8797274574. The cubic root of 1006658352 is about 1002.2145428465.

The spelling of 1006658352 in words is "one billion, six million, six hundred fifty-eight thousand, three hundred fifty-two".