2127632 has 40 divisors (see below), whose sum is σ = 4546584. Its totient is φ = 958464.

The previous prime is 2127617. The next prime is 2127641. The reversal of 2127632 is 2367212.

It can be written as a sum of positive squares in 4 ways, for example, as 65536 + 2062096 = 256^2 + 1436^2 .

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 2127598 and 2127607.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10928 + ... + 11120.

2^2127632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2127632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2273292).

2127632 is an abundant number, since it is smaller than the sum of its proper divisors (2418952).

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

2127632 is a wasteful number, since it uses less digits than its factorization.

2127632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 261 counting only the distinct ones).

The product of its digits is 1008, while the sum is 23.

The square root of 2127632 is about 1458.6404628969. The cubic root of 2127632 is about 128.6171369523.

It can be divided in two parts, 212 and 7632, that multiplied together give a square (1617984 = 1272²).

The spelling of 2127632 in words is "two million, one hundred twenty-seven thousand, six hundred thirty-two".