1010009376 has 72 divisors (see below), whose sum is σ = 2886811200. Its totient is φ = 334958976.

The previous prime is 1010009339. The next prime is 1010009471. The reversal of 1010009376 is 6739000101.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48501 + ... + 66123.

It is an arithmetic number, because the mean of its divisors is an integer number (40094600).

Almost surely, 2^1010009376 is an apocalyptic number.

1010009376 is a gapful number since it is divisible by the number (16) 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 1010009376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443405600).

1010009376 is an abundant number, since it is smaller than the sum of its proper divisors (1876801824).

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

1010009376 is a wasteful number, since it uses less digits than its factorization.

1010009376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17838 (or 17827 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 1010009376 is about 31780.6446756512. The cubic root of 1010009376 is about 1003.3253882024.

Adding to 1010009376 its reverse (6739000101), we get a palindrome (7749009477).

The spelling of 1010009376 in words is "one billion, ten million, nine thousand, three hundred seventy-six".