881601408 has 160 divisors (see below), whose sum is σ = 2738442960. Its totient is φ = 281014272.

The previous prime is 881601407. The next prime is 881601433. The reversal of 881601408 is 804106188.

881601408 is a `hidden beast` number, since 8 + 8 + 1 + 601 + 40 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (881601403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 236616 + ... + 240312.

Almost surely, 2^881601408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 881601408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369221480).

881601408 is an abundant number, since it is smaller than the sum of its proper divisors (1856841552).

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

881601408 is a wasteful number, since it uses less digits than its factorization.

881601408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3746 (or 3725 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 881601408 is about 29691.7734061137. The cubic root of 881601408 is about 958.8649084113.

The spelling of 881601408 in words is "eight hundred eighty-one million, six hundred one thousand, four hundred eight".