1682092632 has 96 divisors (see below), whose sum is σ = 4634784000. Its totient is φ = 508347840.

The previous prime is 1682092627. The next prime is 1682092639. The reversal of 1682092632 is 2362902861.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1682092639) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1739013 + ... + 1739979.

It is an arithmetic number, because the mean of its divisors is an integer number (48279000).

Almost surely, 2^1682092632 is an apocalyptic number.

1682092632 is a gapful number since it is divisible by the number (12) 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 1682092632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2317392000).

1682092632 is an abundant number, since it is smaller than the sum of its proper divisors (2952691368).

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

1682092632 is a wasteful number, since it uses less digits than its factorization.

1682092632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 1682092632 is about 41013.3226159501. The cubic root of 1682092632 is about 1189.2777746937.

The spelling of 1682092632 in words is "one billion, six hundred eighty-two million, ninety-two thousand, six hundred thirty-two".