1005507640 has 32 divisors (see below), whose sum is σ = 2266174080. Its totient is φ = 401530752.

The previous prime is 1005507637. The next prime is 1005507647. The reversal of 1005507640 is 467055001.

It is a super-2 number, since 2×1005507640² = 2022091228196739200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1005507599 and 1005507608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005507647) 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, 3574 + ... + 44986.

It is an arithmetic number, because the mean of its divisors is an integer number (70817940).

Almost surely, 2^1005507640 is an apocalyptic number.

1005507640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005507640 is an abundant number, since it is smaller than the sum of its proper divisors (1260666440).

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

1005507640 is a wasteful number, since it uses less digits than its factorization.

1005507640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42031 (or 42027 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 1005507640 is about 31709.7404593604. The cubic root of 1005507640 is about 1001.8325198198.

The spelling of 1005507640 in words is "one billion, five million, five hundred seven thousand, six hundred forty".