1987632 has 80 divisors (see below), whose sum is σ = 5892480. Its totient is φ = 641088.

The previous prime is 1987621. The next prime is 1987649. The reversal of 1987632 is 2367891.

1987632 is a `hidden beast` number, since 19 + 8 + 7 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18523 + ... + 18629.

It is an arithmetic number, because the mean of its divisors is an integer number (73656).

2^1987632 is an apocalyptic number.

1987632 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 1987632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946240).

1987632 is an abundant number, since it is smaller than the sum of its proper divisors (3904848).

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

1987632 is a wasteful number, since it uses less digits than its factorization.

1987632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 155 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 1987632 is about 1409.8340327854. The cubic root of 1987632 is about 125.7318560644.

It can be divided in two parts, 198763 and 2, that added together give a triangular number (198765 = T₆₃₀).

The spelling of 1987632 in words is "one million, nine hundred eighty-seven thousand, six hundred thirty-two".