842905840 has 120 divisors (see below), whose sum is σ = 2379088800. Its totient is φ = 276401664.

The previous prime is 842905813. The next prime is 842905867. The reversal of 842905840 is 48509248.

It is an interprime number because it is at equal distance from previous prime (842905813) and next prime (842905867).

It is a super-2 number, since 2×842905840² = 1420980510212211200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 842905793 and 842905802.

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, 85486 + ... + 94834.

It is an arithmetic number, because the mean of its divisors is an integer number (19825740).

Almost surely, 2^842905840 is an apocalyptic number.

842905840 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 842905840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189544400).

842905840 is an abundant number, since it is smaller than the sum of its proper divisors (1536182960).

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

842905840 is a wasteful number, since it uses less digits than its factorization.

842905840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9399 (or 9386 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 842905840 is about 29032.8407153003. The cubic root of 842905840 is about 944.6255489477.

The spelling of 842905840 in words is "eight hundred forty-two million, nine hundred five thousand, eight hundred forty".