1009376214 has 64 divisors (see below), whose sum is σ = 2521677312. Its totient is φ = 261676800.

The previous prime is 1009376191. The next prime is 1009376219. The reversal of 1009376214 is 4126739001.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009376219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283284 + ... + 286824.

It is an arithmetic number, because the mean of its divisors is an integer number (39401208).

Almost surely, 2^1009376214 is an apocalyptic number.

1009376214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1009376214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260838656).

1009376214 is an abundant number, since it is smaller than the sum of its proper divisors (1512301098).

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

1009376214 is a wasteful number, since it uses less digits than its factorization.

1009376214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4181.

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 1009376214 is about 31770.6816735178. The cubic root of 1009376214 is about 1003.1156870788.

The spelling of 1009376214 in words is "one billion, nine million, three hundred seventy-six thousand, two hundred fourteen".