1006486572 has 96 divisors (see below), whose sum is σ = 2897036800. Its totient is φ = 264840192.

The previous prime is 1006486571. The next prime is 1006486577. The reversal of 1006486572 is 2756846001.

It is a super-2 number, since 2×1006486572² = 2026030439232622368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1006486572.

It is not an unprimeable number, because it can be changed into a prime (1006486571) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 675204 + ... + 676692.

Almost surely, 2^1006486572 is an apocalyptic number.

1006486572 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 1006486572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448518400).

1006486572 is an abundant number, since it is smaller than the sum of its proper divisors (1890550228).

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

1006486572 is a wasteful number, since it uses less digits than its factorization.

1006486572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2135 (or 2133 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 1006486572 is about 31725.1725290817. The cubic root of 1006486572 is about 1002.1575323730.

It can be divided in two parts, 1006 and 486572, that added together give a triangular number (487578 = T₉₈₇).

The spelling of 1006486572 in words is "one billion, six million, four hundred eighty-six thousand, five hundred seventy-two".