814235436 has 96 divisors (see below), whose sum is σ = 2495808000. Its totient is φ = 224610624.

The previous prime is 814235423. The next prime is 814235447. The reversal of 814235436 is 634532418.

It is a super-2 number, since 2×814235436² = 1325958690476220192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 814235436.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3355 + ... + 40493.

It is an arithmetic number, because the mean of its divisors is an integer number (25998000).

Almost surely, 2^814235436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814235436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247904000).

814235436 is an abundant number, since it is smaller than the sum of its proper divisors (1681572564).

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

814235436 is a wasteful number, since it uses less digits than its factorization.

814235436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37188 (or 37180 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 814235436 is about 28534.8109508369. The cubic root of 814235436 is about 933.7916792415.

The spelling of 814235436 in words is "eight hundred fourteen million, two hundred thirty-five thousand, four hundred thirty-six".