1007152320 has 56 divisors (see below), whose sum is σ = 3197711664. Its totient is φ = 268573696.

The previous prime is 1007152303. The next prime is 1007152327. The reversal of 1007152320 is 232517001.

It is not an unprimeable number, because it can be changed into a prime (1007152327) 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, 523599 + ... + 525518.

It is an arithmetic number, because the mean of its divisors is an integer number (57101994).

Almost surely, 2^1007152320 is an apocalyptic number.

1007152320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1007152320 is an abundant number, since it is smaller than the sum of its proper divisors (2190559344).

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

1007152320 is a wasteful number, since it uses less digits than its factorization.

1007152320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049137 (or 1049127 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 1007152320 is about 31735.6632197911. The cubic root of 1007152320 is about 1002.3784451802.

Adding to 1007152320 its reverse (232517001), we get a palindrome (1239669321).

The spelling of 1007152320 in words is "one billion, seven million, one hundred fifty-two thousand, three hundred twenty".