834136464 has 80 divisors (see below), whose sum is σ = 2467663488. Its totient is φ = 237843456.

The previous prime is 834136441. The next prime is 834136487. The reversal of 834136464 is 464631438.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (834136441) and next prime (834136487).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184924 + ... + 189380.

Almost surely, 2^834136464 is an apocalyptic number.

834136464 is a gapful number since it is divisible by the number (84) 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 834136464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233831744).

834136464 is an abundant number, since it is smaller than the sum of its proper divisors (1633527024).

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

834136464 is a wasteful number, since it uses less digits than its factorization.

834136464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5032 (or 5026 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

The square root of 834136464 is about 28881.4207406769. The cubic root of 834136464 is about 941.3382417725.

The spelling of 834136464 in words is "eight hundred thirty-four million, one hundred thirty-six thousand, four hundred sixty-four".