1000033640 has 16 divisors (see below), whose sum is σ = 2250075780. Its totient is φ = 400013440.

The previous prime is 1000033621. The next prime is 1000033649. The reversal of 1000033640 is 463300001.

It can be written as a sum of positive squares in 2 ways, for example, as 903483364 + 96550276 = 30058^2 + 9826^2 .

It is a super-2 number, since 2×1000033640² = 2000134562263299200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1000033649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12500381 + ... + 12500460.

Almost surely, 2^1000033640 is an apocalyptic number.

1000033640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000033640 is an abundant number, since it is smaller than the sum of its proper divisors (1250042140).

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

1000033640 is a wasteful number, since it uses less digits than its factorization.

1000033640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25000852 (or 25000848 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 1000033640 is about 31623.3084923131. The cubic root of 1000033640 is about 1000.0112132076.

Adding to 1000033640 its reverse (463300001), we get a palindrome (1463333641).

The spelling of 1000033640 in words is "one billion, thirty-three thousand, six hundred forty".