1006534000 has 40 divisors (see below), whose sum is σ = 2433804048. Its totient is φ = 402612800.

The previous prime is 1006533991. The next prime is 1006534007. The reversal of 1006534000 is 4356001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1006534000² = 2026221386312000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006534007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 249634 + ... + 253633.

Almost surely, 2^1006534000 is an apocalyptic number.

1006534000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006534000 is an abundant number, since it is smaller than the sum of its proper divisors (1427270048).

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

1006534000 is an equidigital number, since it uses as much as digits as its factorization.

1006534000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503290 (or 503274 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 1006534000 is about 31725.9200024207. The cubic root of 1006534000 is about 1002.1732734609.

It can be divided in two parts, 100653 and 4000, that added together give a triangular number (104653 = T₄₅₇).

The spelling of 1006534000 in words is "one billion, six million, five hundred thirty-four thousand".