1630080 has 96 divisors (see below), whose sum is σ = 5648760. Its totient is φ = 433152.

The previous prime is 1630051. The next prime is 1630091. The reversal of 1630080 is 800361.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5619 + ... + 5901.

2^1630080 is an apocalyptic number.

1630080 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 1630080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2824380).

1630080 is an abundant number, since it is smaller than the sum of its proper divisors (4018680).

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

1630080 is a wasteful number, since it uses less digits than its factorization.

1630080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1630080 is about 1276.7458635140. The cubic root of 1630080 is about 117.6891175113.

The spelling of 1630080 in words is "one million, six hundred thirty thousand, eighty".