855349040 has 160 divisors (see below), whose sum is σ = 2462092416. Its totient is φ = 269107200.

The previous prime is 855349039. The next prime is 855349043. The reversal of 855349040 is 40943558.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 855348985 and 855349003.

It is not an unprimeable number, because it can be changed into a prime (855349043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2132840 + ... + 2133240.

Almost surely, 2^855349040 is an apocalyptic number.

855349040 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 855349040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231046208).

855349040 is an abundant number, since it is smaller than the sum of its proper divisors (1606743376).

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

855349040 is a wasteful number, since it uses less digits than its factorization.

855349040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The square root of 855349040 is about 29246.3508834863. The cubic root of 855349040 is about 949.2511328289.

The spelling of 855349040 in words is "eight hundred fifty-five million, three hundred forty-nine thousand, forty".