361768968 has 192 divisors, whose sum is σ = 1165320000. Its totient is φ = 100154880.

The previous prime is 361768963. The next prime is 361768973. The reversal of 361768968 is 869867163.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (361768963) and next prime (361768973).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (361768961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 435978 + ... + 436806.

It is an arithmetic number, because the mean of its divisors is an integer number (6069375).

Almost surely, 2^361768968 is an apocalyptic number.

361768968 is a gapful number since it is divisible by the number (38) 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 361768968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582660000).

361768968 is an abundant number, since it is smaller than the sum of its proper divisors (803551032).

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

361768968 is a wasteful number, since it uses less digits than its factorization.

361768968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 893 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 361768968 is about 19020.2252352594. The cubic root of 361768968 is about 712.5419484074.

The spelling of 361768968 in words is "three hundred sixty-one million, seven hundred sixty-eight thousand, nine hundred sixty-eight".