9208894968 has 768 divisors, whose sum is σ = 35300966400. Its totient is φ = 2194698240.

The previous prime is 9208894963. The next prime is 9208894969. The reversal of 9208894968 is 8694988029.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9208894963) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 72510921 + ... + 72511047.

It is an arithmetic number, because the mean of its divisors is an integer number (45964800).

Almost surely, 2^9208894968 is an apocalyptic number.

9208894968 is a gapful number since it is divisible by the number (98) 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 9208894968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17650483200).

9208894968 is an abundant number, since it is smaller than the sum of its proper divisors (26092071432).

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

9208894968 is a wasteful number, since it uses less digits than its factorization.

9208894968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The square root of 9208894968 is about 95962.9874899693. The cubic root of 9208894968 is about 2096.0541906380.

The spelling of 9208894968 in words is "nine billion, two hundred eight million, eight hundred ninety-four thousand, nine hundred sixty-eight".