811600146 has 96 divisors (see below), whose sum is σ = 2071280640. Its totient is φ = 224858592.

The previous prime is 811600129. The next prime is 811600147. The reversal of 811600146 is 641006118.

811600146 is a `hidden beast` number, since 8 + 11 + 600 + 1 + 46 = 666.

It is not an unprimeable number, because it can be changed into a prime (811600147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 882675 + ... + 883593.

It is an arithmetic number, because the mean of its divisors is an integer number (21575840).

Almost surely, 2^811600146 is an apocalyptic number.

811600146 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 811600146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035640320).

811600146 is an abundant number, since it is smaller than the sum of its proper divisors (1259680494).

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

811600146 is a wasteful number, since it uses less digits than its factorization.

811600146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 811600146 is about 28488.5967713399. The cubic root of 811600146 is about 932.7831783533.

The spelling of 811600146 in words is "eight hundred eleven million, six hundred thousand, one hundred forty-six".