1630980 has 144 divisors (see below), whose sum is σ = 5778864. Its totient is φ = 368640.

The previous prime is 1630943. The next prime is 1630987. The reversal of 1630980 is 890361.

1630980 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 8 ways, for example, as 248004 + 1382976 = 498^2 + 1176^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1630987) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39760 + ... + 39800.

It is an arithmetic number, because the mean of its divisors is an integer number (40131).

2^1630980 is an apocalyptic number.

1630980 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 1630980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889432).

1630980 is an abundant number, since it is smaller than the sum of its proper divisors (4147884).

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

1630980 is a wasteful number, since it uses less digits than its factorization.

1630980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1630980 is about 1277.0982734308. The cubic root of 1630980 is about 117.7107730370.

The spelling of 1630980 in words is "one million, six hundred thirty thousand, nine hundred eighty".