1678464 has 96 divisors (see below), whose sum is σ = 5091840. Its totient is φ = 529920.

The previous prime is 1678463. The next prime is 1678507. The reversal of 1678464 is 4648761.

1678464 = T₂₀₁ + T₂₀₂ + ... + T₂₆₂.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1678463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35689 + ... + 35735.

It is an arithmetic number, because the mean of its divisors is an integer number (53040).

2^1678464 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 1678464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2545920).

1678464 is an abundant number, since it is smaller than the sum of its proper divisors (3413376).

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

1678464 is a wasteful number, since it uses less digits than its factorization.

1678464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 83 counting only the distinct ones).

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

The square root of 1678464 is about 1295.5554793215. Note that the first 3 decimals coincide. The cubic root of 1678464 is about 118.8421983887.

The spelling of 1678464 in words is "one million, six hundred seventy-eight thousand, four hundred sixty-four".