1678993920 has 240 divisors, whose sum is σ = 6032426400. Its totient is φ = 447565824.

The previous prime is 1678993913. The next prime is 1678993949. The reversal of 1678993920 is 293998761.

1678993920 is a `hidden beast` number, since 167 + 8 + 99 + 392 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 620731 + ... + 623429.

It is an arithmetic number, because the mean of its divisors is an integer number (25135110).

Almost surely, 2^1678993920 is an apocalyptic number.

1678993920 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 1678993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3016213200).

1678993920 is an abundant number, since it is smaller than the sum of its proper divisors (4353432480).

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

1678993920 is an frugal number, since it uses more digits than its factorization.

1678993920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2737 (or 2709 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 1678993920 is about 40975.5283065393. The cubic root of 1678993920 is about 1188.5470391586.

The spelling of 1678993920 in words is "one billion, six hundred seventy-eight million, nine hundred ninety-three thousand, nine hundred twenty".