868400148 has 288 divisors, whose sum is σ = 2735824896. Its totient is φ = 211680000.

The previous prime is 868400129. The next prime is 868400227. The reversal of 868400148 is 841004868.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12230953 + ... + 12231023.

It is an arithmetic number, because the mean of its divisors is an integer number (9499392).

Almost surely, 2^868400148 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 868400148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367912448).

868400148 is an abundant number, since it is smaller than the sum of its proper divisors (1867424748).

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

868400148 is a wasteful number, since it uses less digits than its factorization.

868400148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 868400148 is about 29468.6298968921. The cubic root of 868400148 is about 954.0547459233.

The spelling of 868400148 in words is "eight hundred sixty-eight million, four hundred thousand, one hundred forty-eight".