1005376640 has 128 divisors (see below), whose sum is σ = 2618136000. Its totient is φ = 367718400.

The previous prime is 1005376637. The next prime is 1005376643. The reversal of 1005376640 is 466735001.

1005376640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1005376637) and next prime (1005376643).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1005376597 and 1005376606.

It is not an unprimeable number, because it can be changed into a prime (1005376643) 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, 351215 + ... + 354065.

Almost surely, 2^1005376640 is an apocalyptic number.

1005376640 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 1005376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309068000).

1005376640 is an abundant number, since it is smaller than the sum of its proper divisors (1612759360).

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

1005376640 is a wasteful number, since it uses less digits than its factorization.

1005376640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2918 (or 2906 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 1005376640 is about 31707.6747807215. The cubic root of 1005376640 is about 1001.7890108648.

The spelling of 1005376640 in words is "one billion, five million, three hundred seventy-six thousand, six hundred forty".