1677201120 has 384 divisors, whose sum is σ = 6894720000. Its totient is φ = 372750336.

The previous prime is 1677201089. The next prime is 1677201133. The reversal of 1677201120 is 211027761.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1118131 + ... + 1119629.

It is an arithmetic number, because the mean of its divisors is an integer number (17955000).

Almost surely, 2^1677201120 is an apocalyptic number.

1677201120 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 1677201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447360000).

1677201120 is an abundant number, since it is smaller than the sum of its proper divisors (5217518880).

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

1677201120 is a wasteful number, since it uses less digits than its factorization.

1677201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 1677201120 is about 40953.6459915354. The cubic root of 1677201120 is about 1188.1238519994.

Adding to 1677201120 its reverse (211027761), we get a palindrome (1888228881).

The spelling of 1677201120 in words is "one billion, six hundred seventy-seven million, two hundred one thousand, one hundred twenty".