857154960 has 400 divisors, whose sum is σ = 3266790912. Its totient is φ = 207360000.

The previous prime is 857154959. The next prime is 857154971. The reversal of 857154960 is 69451758.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 3414835 + ... + 3415085.

Almost surely, 2^857154960 is an apocalyptic number.

857154960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 857154960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633395456).

857154960 is an abundant number, since it is smaller than the sum of its proper divisors (2409635952).

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

857154960 is a wasteful number, since it uses less digits than its factorization.

857154960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 857154960 is about 29277.2088833618. The cubic root of 857154960 is about 949.9187225017.

The spelling of 857154960 in words is "eight hundred fifty-seven million, one hundred fifty-four thousand, nine hundred sixty".