1678152960 has 864 divisors, whose sum is σ = 7231835520. Its totient is φ = 353894400.

The previous prime is 1678152937. The next prime is 1678152961. The reversal of 1678152960 is 692518761.

1678152960 is a `hidden beast` number, since 1 + 67 + 8 + 1 + 529 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1678152961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40930540 + ... + 40930580.

It is an arithmetic number, because the mean of its divisors is an integer number (8370180).

Almost surely, 2^1678152960 is an apocalyptic number.

1678152960 is a gapful number since it is divisible by the number (10) 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 1678152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3615917760).

1678152960 is an abundant number, since it is smaller than the sum of its proper divisors (5553682560).

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

1678152960 is a wasteful number, since it uses less digits than its factorization.

1678152960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 1678152960 is about 40965.2652865815. The cubic root of 1678152960 is about 1188.3485696208.

The spelling of 1678152960 in words is "one billion, six hundred seventy-eight million, one hundred fifty-two thousand, nine hundred sixty".