1006375720 has 64 divisors (see below), whose sum is σ = 2640672000. Its totient is φ = 345038400.

The previous prime is 1006375687. The next prime is 1006375729. The reversal of 1006375720 is 275736001.

It is not an unprimeable number, because it can be changed into a prime (1006375729) 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, 22956 + ... + 50395.

It is an arithmetic number, because the mean of its divisors is an integer number (41260500).

Almost surely, 2^1006375720 is an apocalyptic number.

1006375720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006375720 is an abundant number, since it is smaller than the sum of its proper divisors (1634296280).

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

1006375720 is an equidigital number, since it uses as much as digits as its factorization.

1006375720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73383 (or 73365 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 1006375720 is about 31723.4254140375. The cubic root of 1006375720 is about 1002.1207392855.

The spelling of 1006375720 in words is "one billion, six million, three hundred seventy-five thousand, seven hundred twenty".