1682948520 has 192 divisors, whose sum is σ = 6065504640. Its totient is φ = 401241600.

The previous prime is 1682948483. The next prime is 1682948539. The reversal of 1682948520 is 258492861.

1682948520 is a `hidden beast` number, since 1 + 6 + 82 + 9 + 48 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238077 + ... + 245043.

It is an arithmetic number, because the mean of its divisors is an integer number (31591170).

Almost surely, 2^1682948520 is an apocalyptic number.

1682948520 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 1682948520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3032752320).

1682948520 is an abundant number, since it is smaller than the sum of its proper divisors (4382556120).

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

1682948520 is a wasteful number, since it uses less digits than its factorization.

1682948520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7056 (or 7049 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 1682948520 is about 41023.7555569940. The cubic root of 1682948520 is about 1189.4794512569.

The spelling of 1682948520 in words is "one billion, six hundred eighty-two million, nine hundred forty-eight thousand, five hundred twenty".