850747968 has 224 divisors, whose sum is σ = 2907710720. Its totient is φ = 238878720.

The previous prime is 850747957. The next prime is 850747969. The reversal of 850747968 is 869747058.

850747968 is a `hidden beast` number, since 8 + 507 + 4 + 79 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×850747968² = 1447544210112258048, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (850747969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 737280 + ... + 738432.

Almost surely, 2^850747968 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 850747968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453855360).

850747968 is an abundant number, since it is smaller than the sum of its proper divisors (2056962752).

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

850747968 is a wasteful number, since it uses less digits than its factorization.

850747968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 850747968 is about 29167.5841989014. The cubic root of 850747968 is about 947.5460091878.

The spelling of 850747968 in words is "eight hundred fifty million, seven hundred forty-seven thousand, nine hundred sixty-eight".