1678605456 has 80 divisors (see below), whose sum is σ = 4777604928. Its totient is φ = 503616000.

The previous prime is 1678605451. The next prime is 1678605457. The reversal of 1678605456 is 6545068761.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1678605451) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 37590 + ... + 69066.

Almost surely, 2^1678605456 is an apocalyptic number.

1678605456 is a gapful number since it is divisible by the number (16) 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 1678605456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388802464).

1678605456 is an abundant number, since it is smaller than the sum of its proper divisors (3098999472).

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

1678605456 is a wasteful number, since it uses less digits than its factorization.

1678605456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31600 (or 31594 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The square root of 1678605456 is about 40970.7878371896. The cubic root of 1678605456 is about 1188.4553685170.

The spelling of 1678605456 in words is "one billion, six hundred seventy-eight million, six hundred five thousand, four hundred fifty-six".