819272916 has 72 divisors (see below), whose sum is σ = 2581959744. Its totient is φ = 212797440.

The previous prime is 819272911. The next prime is 819272921. The reversal of 819272916 is 619272918.

It is an interprime number because it is at equal distance from previous prime (819272911) and next prime (819272921).

It is a super-2 number, since 2×819272916² = 1342416221782286112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (819272911) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145005 + ... + 150548.

It is an arithmetic number, because the mean of its divisors is an integer number (35860552).

Almost surely, 2^819272916 is an apocalyptic number.

It is an amenable number.

819272916 is an abundant number, since it is smaller than the sum of its proper divisors (1762686828).

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

819272916 is a wasteful number, since it uses less digits than its factorization.

819272916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295581 (or 295576 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 819272916 is about 28622.9438737527. The cubic root of 819272916 is about 935.7134368208.

The spelling of 819272916 in words is "eight hundred nineteen million, two hundred seventy-two thousand, nine hundred sixteen".