842912640 has 192 divisors, whose sum is σ = 2959632000. Its totient is φ = 220999680.

The previous prime is 842912597. The next prime is 842912657. The reversal of 842912640 is 46219248.

842912640 is a `hidden beast` number, since 8 + 4 + 2 + 9 + 1 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 842912595 and 842912604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 350161 + ... + 352559.

It is an arithmetic number, because the mean of its divisors is an integer number (15414750).

Almost surely, 2^842912640 is an apocalyptic number.

842912640 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 842912640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479816000).

842912640 is an abundant number, since it is smaller than the sum of its proper divisors (2116719360).

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

842912640 is a wasteful number, since it uses less digits than its factorization.

842912640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2485 (or 2470 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 842912640 is about 29032.9578238250. The cubic root of 842912640 is about 944.6280891430.

The spelling of 842912640 in words is "eight hundred forty-two million, nine hundred twelve thousand, six hundred forty".