1678285638 has 72 divisors (see below), whose sum is σ = 3749148000. Its totient is φ = 542475648.

The previous prime is 1678285603. The next prime is 1678285639. The reversal of 1678285638 is 8365828761.

1678285638 is a `hidden beast` number, since 1 + 6 + 78 + 2 + 8 + 563 + 8 = 666.

It is a super-3 number, since 3×1678285638³ (a number of 29 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1678285639) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11263588 + ... + 11263736.

It is an arithmetic number, because the mean of its divisors is an integer number (52071500).

Almost surely, 2^1678285638 is an apocalyptic number.

1678285638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1678285638 is an abundant number, since it is smaller than the sum of its proper divisors (2070862362).

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

1678285638 is a wasteful number, since it uses less digits than its factorization.

1678285638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 322 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 1678285638 is about 40966.8846508982. The cubic root of 1678285638 is about 1188.3798865032.

The spelling of 1678285638 in words is "one billion, six hundred seventy-eight million, two hundred eighty-five thousand, six hundred thirty-eight".