862464 has 36 divisors (see below), whose sum is σ = 2297456. Its totient is φ = 287232.

The previous prime is 862447. The next prime is 862471. The reversal of 862464 is 464268.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 862464.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 207 + ... + 1329.

2⁸⁶²⁴⁶⁴ 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 862464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148728).

862464 is an abundant number, since it is smaller than the sum of its proper divisors (1434992).

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

862464 is a wasteful number, since it uses less digits than its factorization.

862464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1128 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 862464 is about 928.6893990996. The cubic root of 862464 is about 95.1875887123.

It can be divided in two parts, 862 and 464, that added together give a triangular number (1326 = T₅₁).

The spelling of 862464 in words is "eight hundred sixty-two thousand, four hundred sixty-four".