291145968 has 160 divisors (see below), whose sum is σ = 892800000. Its totient is φ = 90574848.

The previous prime is 291145951. The next prime is 291145979. The reversal of 291145968 is 869541192.

It is a Cunningham number, because it is equal to 17063²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 648208 + ... + 648656.

It is an arithmetic number, because the mean of its divisors is an integer number (5580000).

Almost surely, 2^291145968 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 291145968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446400000).

291145968 is an abundant number, since it is smaller than the sum of its proper divisors (601654032).

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

291145968 is a wasteful number, since it uses less digits than its factorization.

291145968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 552 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 291145968 is about 17062.9999706968. Note that the first 4 decimals coincide. The cubic root of 291145968 is about 662.7813205626.

The spelling of 291145968 in words is "two hundred ninety-one million, one hundred forty-five thousand, nine hundred sixty-eight".