1009977960 has 32 divisors (see below), whose sum is σ = 3029934240. Its totient is φ = 269327424.

The previous prime is 1009977959. The next prime is 1009977967. The reversal of 1009977960 is 697799001.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1009977967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4208122 + ... + 4208361.

It is an arithmetic number, because the mean of its divisors is an integer number (94685445).

Almost surely, 2^1009977960 is an apocalyptic number.

1009977960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1009977960 is an abundant number, since it is smaller than the sum of its proper divisors (2019956280).

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

1009977960 is a wasteful number, since it uses less digits than its factorization.

1009977960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8416497 (or 8416493 counting only the distinct ones).

The product of its (nonzero) digits is 214326, while the sum is 48.

The square root of 1009977960 is about 31780.1504087064. The cubic root of 1009977960 is about 1003.3149853956.

The spelling of 1009977960 in words is "one billion, nine million, nine hundred seventy-seven thousand, nine hundred sixty".