1682479120 has 160 divisors (see below), whose sum is σ = 4887115776. Its totient is φ = 525312000.

The previous prime is 1682479111. The next prime is 1682479129. The reversal of 1682479120 is 219742861.

It is an interprime number because it is at equal distance from previous prime (1682479111) and next prime (1682479129).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1682479129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292270 + ... + 297970.

Almost surely, 2^1682479120 is an apocalyptic number.

1682479120 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 1682479120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2443557888).

1682479120 is an abundant number, since it is smaller than the sum of its proper divisors (3204636656).

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

1682479120 is a wasteful number, since it uses less digits than its factorization.

1682479120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5769 (or 5763 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 1682479120 is about 41018.0340825837. The cubic root of 1682479120 is about 1189.3688529893.

The spelling of 1682479120 in words is "one billion, six hundred eighty-two million, four hundred seventy-nine thousand, one hundred twenty".