1627661112 has 128 divisors (see below), whose sum is σ = 5191464960. Its totient is φ = 412917120.

The previous prime is 1627661099. The next prime is 1627661131. The reversal of 1627661112 is 2111667261.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

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, 69223 + ... + 89705.

It is an arithmetic number, because the mean of its divisors is an integer number (40558320).

Almost surely, 2^1627661112 is an apocalyptic number.

1627661112 is a gapful number since it is divisible by the number (12) 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 1627661112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2595732480).

1627661112 is an abundant number, since it is smaller than the sum of its proper divisors (3563803848).

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

1627661112 is a wasteful number, since it uses less digits than its factorization.

1627661112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20553 (or 20549 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 1627661112 is about 40344.2822714694. The cubic root of 1627661112 is about 1176.3087543695.

It can be divided in two parts, 162766 and 1112, that added together give a triangular number (163878 = T₅₇₂).

The spelling of 1627661112 in words is "one billion, six hundred twenty-seven million, six hundred sixty-one thousand, one hundred twelve".