1006740540 has 144 divisors (see below), whose sum is σ = 3321409728. Its totient is φ = 245348352.

The previous prime is 1006740491. The next prime is 1006740551. The reversal of 1006740540 is 450476001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238932 + ... + 243108.

Almost surely, 2^1006740540 is an apocalyptic number.

1006740540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006740540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660704864).

1006740540 is an abundant number, since it is smaller than the sum of its proper divisors (2314669188).

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

1006740540 is a wasteful number, since it uses less digits than its factorization.

1006740540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4308 (or 4303 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1006740540 is about 31729.1749026034. The cubic root of 1006740540 is about 1002.2418171669.

The spelling of 1006740540 in words is "one billion, six million, seven hundred forty thousand, five hundred forty".