682372992 has 256 divisors, whose sum is σ = 2256076800. Its totient is φ = 178329600.

The previous prime is 682372991. The next prime is 682372997. The reversal of 682372992 is 299273286.

It is a super-2 number, since 2×682372992² = 931265800422064128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682372991) 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, 1583017 + ... + 1583447.

It is an arithmetic number, because the mean of its divisors is an integer number (8812800).

Almost surely, 2^682372992 is an apocalyptic number.

682372992 is a gapful number since it is divisible by the number (62) 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 682372992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128038400).

682372992 is an abundant number, since it is smaller than the sum of its proper divisors (1573703808).

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

682372992 is a wasteful number, since it uses less digits than its factorization.

682372992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 493 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The square root of 682372992 is about 26122.2700391830. The cubic root of 682372992 is about 880.3876528996.

The spelling of 682372992 in words is "six hundred eighty-two million, three hundred seventy-two thousand, nine hundred ninety-two".