1006638624 has 96 divisors (see below), whose sum is σ = 2941807680. Its totient is φ = 334886400.

The previous prime is 1006638623. The next prime is 1006638637. The reversal of 1006638624 is 4268366001.

1006638624 is a `hidden beast` number, since 10 + 0 + 6 + 638 + 6 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1006638624² = 2026642638657226752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1006638623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 656739 + ... + 658269.

It is an arithmetic number, because the mean of its divisors is an integer number (30643830).

Almost surely, 2^1006638624 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 1006638624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470903840).

1006638624 is an abundant number, since it is smaller than the sum of its proper divisors (1935169056).

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

1006638624 is a wasteful number, since it uses less digits than its factorization.

1006638624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2311 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1006638624 is about 31727.5688321687. The cubic root of 1006638624 is about 1002.2079958329.

The spelling of 1006638624 in words is "one billion, six million, six hundred thirty-eight thousand, six hundred twenty-four".