1006342920 has 512 divisors, whose sum is σ = 3981312000. Its totient is φ = 223534080.

The previous prime is 1006342919. The next prime is 1006342933. The reversal of 1006342920 is 292436001.

1006342920 is a `hidden beast` number, since 1 + 0 + 0 + 634 + 2 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7923897 + ... + 7924023.

It is an arithmetic number, because the mean of its divisors is an integer number (7776000).

Almost surely, 2^1006342920 is an apocalyptic number.

1006342920 is a gapful number since it is divisible by the number (10) 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 1006342920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990656000).

1006342920 is an abundant number, since it is smaller than the sum of its proper divisors (2974969080).

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

1006342920 is a wasteful number, since it uses less digits than its factorization.

1006342920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1006342920 is about 31722.9084416924. The cubic root of 1006342920 is about 1002.1098520603.

Adding to 1006342920 its reverse (292436001), we get a palindrome (1298778921).

The spelling of 1006342920 in words is "one billion, six million, three hundred forty-two thousand, nine hundred twenty".