967181460 has 96 divisors (see below), whose sum is σ = 3117434880. Its totient is φ = 219466368.

The previous prime is 967181447. The next prime is 967181461. The reversal of 967181460 is 64181769.

It is a super-3 number, since 3×967181460³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (967181461) 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, 50097 + ... + 66663.

It is an arithmetic number, because the mean of its divisors is an integer number (32473280).

Almost surely, 2^967181460 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 967181460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558717440).

967181460 is an abundant number, since it is smaller than the sum of its proper divisors (2150253420).

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

967181460 is a wasteful number, since it uses less digits than its factorization.

967181460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16725 (or 16723 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 967181460 is about 31099.5411541714. The cubic root of 967181460 is about 988.9385828572.

The spelling of 967181460 in words is "nine hundred sixty-seven million, one hundred eighty-one thousand, four hundred sixty".