881484864 has 168 divisors, whose sum is σ = 2584899072. Its totient is φ = 263531520.

The previous prime is 881484827. The next prime is 881484869. The reversal of 881484864 is 468484188.

It is a super-2 number, since 2×881484864² = 1554031130922196992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (881484869) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4615009 + ... + 4615199.

It is an arithmetic number, because the mean of its divisors is an integer number (15386304).

Almost surely, 2^881484864 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 881484864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292449536).

881484864 is an abundant number, since it is smaller than the sum of its proper divisors (1703414208).

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

881484864 is a wasteful number, since it uses less digits than its factorization.

881484864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 252 counting only the distinct ones).

The product of its digits is 1572864, while the sum is 51.

The square root of 881484864 is about 29689.8107774368. The cubic root of 881484864 is about 958.8226539127.

The spelling of 881484864 in words is "eight hundred eighty-one million, four hundred eighty-four thousand, eight hundred sixty-four".