1476864 has 54 divisors (see below), whose sum is σ = 4264806. Its totient is φ = 491520.

The previous prime is 1476859. The next prime is 1476869. The reversal of 1476864 is 4686741.

It is an interprime number because it is at equal distance from previous prime (1476859) and next prime (1476869).

It can be written as a sum of positive squares in only one way, i.e., 1440000 + 36864 = 1200^2 + 192^2 .

It is a super-2 number, since 2×1476864² = 4362254548992, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1476869) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1984 + ... + 2624.

2^1476864 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 1476864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132403).

1476864 is an abundant number, since it is smaller than the sum of its proper divisors (2787942).

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

1476864 is an equidigital number, since it uses as much as digits as its factorization.

1476864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 646 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 1476864 is about 1215.2629345125. The cubic root of 1476864 is about 113.8798364497.

The spelling of 1476864 in words is "one million, four hundred seventy-six thousand, eight hundred sixty-four".