1006469632 has 80 divisors (see below), whose sum is σ = 2433594240. Its totient is φ = 405946368.

The previous prime is 1006469617. The next prime is 1006469669. The reversal of 1006469632 is 2369646001.

It is a happy number.

It is a super-2 number, since 2×1006469632² = 2025962240276430848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1006469591 and 1006469600.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52669 + ... + 69187.

It is an arithmetic number, because the mean of its divisors is an integer number (30419928).

Almost surely, 2^1006469632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006469632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216797120).

1006469632 is an abundant number, since it is smaller than the sum of its proper divisors (1427124608).

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

1006469632 is an equidigital number, since it uses as much as digits as its factorization.

1006469632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16561 (or 16545 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 1006469632 is about 31724.9055475347. The cubic root of 1006469632 is about 1002.1519099619.

The spelling of 1006469632 in words is "one billion, six million, four hundred sixty-nine thousand, six hundred thirty-two".