857967552 has 280 divisors, whose sum is σ = 2839821600. Its totient is φ = 254306304.

The previous prime is 857967547. The next prime is 857967587. The reversal of 857967552 is 255769758.

857967552 is a `hidden beast` number, since 8 + 579 + 67 + 5 + 5 + 2 = 666.

It is a super-2 number, since 2×857967552² = 1472216640569745408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1954149 + ... + 1954587.

It is an arithmetic number, because the mean of its divisors is an integer number (10142220).

Almost surely, 2^857967552 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 857967552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419910800).

857967552 is an abundant number, since it is smaller than the sum of its proper divisors (1981854048).

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

857967552 is a wasteful number, since it uses less digits than its factorization.

857967552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 486 counting only the distinct ones).

The product of its digits is 5292000, while the sum is 54.

The square root of 857967552 is about 29291.0831482893. The cubic root of 857967552 is about 950.2188053716.

The spelling of 857967552 in words is "eight hundred fifty-seven million, nine hundred sixty-seven thousand, five hundred fifty-two".