1006534600 has 48 divisors (see below), whose sum is σ = 2342372400. Its totient is φ = 402239040.

The previous prime is 1006534591. The next prime is 1006534601. The reversal of 1006534600 is 64356001.

It is a super-2 number, since 2×1006534600² = 2026223801994320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1006534601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 331891 + ... + 334909.

It is an arithmetic number, because the mean of its divisors is an integer number (48799425).

Almost surely, 2^1006534600 is an apocalyptic number.

1006534600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006534600 is an abundant number, since it is smaller than the sum of its proper divisors (1335837800).

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

1006534600 is a wasteful number, since it uses less digits than its factorization.

1006534600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4702 (or 4693 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 1006534600 is about 31725.9294584099. The cubic root of 1006534600 is about 1002.1734725944.

The spelling of 1006534600 in words is "one billion, six million, five hundred thirty-four thousand, six hundred".