1010367920 has 160 divisors (see below), whose sum is σ = 2564835840. Its totient is φ = 369121280.

The previous prime is 1010367907. The next prime is 1010367929. The reversal of 1010367920 is 297630101.

It is not an unprimeable number, because it can be changed into a prime (1010367929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4450847 + ... + 4451073.

It is an arithmetic number, because the mean of its divisors is an integer number (16030224).

Almost surely, 2^1010367920 is an apocalyptic number.

1010367920 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 1010367920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282417920).

1010367920 is an abundant number, since it is smaller than the sum of its proper divisors (1554467920).

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

1010367920 is a wasteful number, since it uses less digits than its factorization.

1010367920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 1010367920 is about 31786.2850927881. The cubic root of 1010367920 is about 1003.4440979052. Note that the first 3 decimals are identical.

The spelling of 1010367920 in words is "one billion, ten million, three hundred sixty-seven thousand, nine hundred twenty".