1005060672 has 672 divisors, whose sum is σ = 4016922624. Its totient is φ = 232243200.

The previous prime is 1005060659. The next prime is 1005060697. The reversal of 1005060672 is 2760605001.

1005060672 is a `hidden beast` number, since 1 + 0 + 0 + 50 + 606 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23373483 + ... + 23373525.

Almost surely, 2^1005060672 is an apocalyptic number.

1005060672 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 1005060672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008461312).

1005060672 is an abundant number, since it is smaller than the sum of its proper divisors (3011861952).

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

1005060672 is a wasteful number, since it uses less digits than its factorization.

1005060672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1005060672 is about 31702.6918730886. The cubic root of 1005060672 is about 1001.6840530400.

Adding to 1005060672 its reverse (2760605001), we get a palindrome (3765665673).

The spelling of 1005060672 in words is "one billion, five million, sixty thousand, six hundred seventy-two".