821232000 has 256 divisors, whose sum is σ = 3026462400. Its totient is φ = 218880000.

The previous prime is 821231977. The next prime is 821232023. The reversal of 821232000 is 232128.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (821231977) and next prime (821232023).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431050 + ... + 432950.

Almost surely, 2^821232000 is an apocalyptic number.

821232000 is a gapful number since it is divisible by the number (80) 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 821232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513231200).

821232000 is an abundant number, since it is smaller than the sum of its proper divisors (2205230400).

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

821232000 is a wasteful number, since it uses less digits than its factorization.

821232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1939 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 821232000 is about 28657.1457057398. The cubic root of 821232000 is about 936.4586837995.

Adding to 821232000 its reverse (232128), we get a palindrome (821464128).

The spelling of 821232000 in words is "eight hundred twenty-one million, two hundred thirty-two thousand".