1006762720 has 24 divisors (see below), whose sum is σ = 2378477304. Its totient is φ = 402705024.

The previous prime is 1006762717. The next prime is 1006762723. The reversal of 1006762720 is 272676001.

It is an interprime number because it is at equal distance from previous prime (1006762717) and next prime (1006762723).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006762723) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3145974 + ... + 3146293.

It is an arithmetic number, because the mean of its divisors is an integer number (99103221).

Almost surely, 2^1006762720 is an apocalyptic number.

1006762720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006762720 is an abundant number, since it is smaller than the sum of its proper divisors (1371714584).

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

1006762720 is an equidigital number, since it uses as much as digits as its factorization.

1006762720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6292282 (or 6292274 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 1006762720 is about 31729.5244212705. The cubic root of 1006762720 is about 1002.2491774083.

The spelling of 1006762720 in words is "one billion, six million, seven hundred sixty-two thousand, seven hundred twenty".