20480670 has 192 divisors, whose sum is σ = 67392000. Its totient is φ = 4209408.

The previous prime is 20480657. The next prime is 20480683. The reversal of 20480670 is 7608402.

It is an interprime number because it is at equal distance from previous prime (20480657) and next prime (20480683).

It is a super-3 number, since 3×20480670³ (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 347101 + ... + 347159.

It is an arithmetic number, because the mean of its divisors is an integer number (351000).

Almost surely, 2^20480670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20480670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33696000).

20480670 is an abundant number, since it is smaller than the sum of its proper divisors (46911330).

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

20480670 is a wasteful number, since it uses less digits than its factorization.

20480670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 20480670 is about 4525.5574242296. The cubic root of 20480670 is about 273.5991349875.

It can be divided in two parts, 20 and 480670, that added together give a triangular number (480690 = T₉₈₀).

The spelling of 20480670 in words is "twenty million, four hundred eighty thousand, six hundred seventy".