842616000 has 448 divisors, whose sum is σ = 3195279360. Its totient is φ = 217267200.

The previous prime is 842615989. The next prime is 842616007. The reversal of 842616000 is 616248.

842616000 is a `hidden beast` number, since 8 + 42 + 616 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (842616007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10151959 + ... + 10152041.

It is an arithmetic number, because the mean of its divisors is an integer number (7132320).

Almost surely, 2^842616000 is an apocalyptic number.

842616000 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 842616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597639680).

842616000 is an abundant number, since it is smaller than the sum of its proper divisors (2352663360).

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

842616000 is a wasteful number, since it uses less digits than its factorization.

842616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 842616000 is about 29027.8486974147. The cubic root of 842616000 is about 944.5172641533.

The spelling of 842616000 in words is "eight hundred forty-two million, six hundred sixteen thousand".