1678958064 has 160 divisors (see below), whose sum is σ = 5625354240. Its totient is φ = 469456128.

The previous prime is 1678958053. The next prime is 1678958107. The reversal of 1678958064 is 4608598761.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1678958064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136222 + ... + 148034.

It is an arithmetic number, because the mean of its divisors is an integer number (35158464).

Almost surely, 2^1678958064 is an apocalyptic number.

1678958064 is a gapful number since it is divisible by the number (14) 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 1678958064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812677120).

1678958064 is an abundant number, since it is smaller than the sum of its proper divisors (3946396176).

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

1678958064 is a wasteful number, since it uses less digits than its factorization.

1678958064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11884 (or 11872 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 1678958064 is about 40975.0907747622. The cubic root of 1678958064 is about 1188.5385783684.

The spelling of 1678958064 in words is "one billion, six hundred seventy-eight million, nine hundred fifty-eight thousand, sixty-four".