967152060 has 288 divisors, whose sum is σ = 3585254400. Its totient is φ = 206115840.

The previous prime is 967152037. The next prime is 967152061. The reversal of 967152060 is 60251769.

967152060 is a `hidden beast` number, since 9 + 6 + 71 + 520 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (967152061) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1699456 + ... + 1700024.

It is an arithmetic number, because the mean of its divisors is an integer number (12448800).

Almost surely, 2^967152060 is an apocalyptic number.

967152060 is a gapful number since it is divisible by the number (90) 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 967152060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792627200).

967152060 is an abundant number, since it is smaller than the sum of its proper divisors (2618102340).

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

967152060 is a wasteful number, since it uses less digits than its factorization.

967152060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 967152060 is about 31099.0684747952. The cubic root of 967152060 is about 988.9285623008.

The spelling of 967152060 in words is "nine hundred sixty-seven million, one hundred fifty-two thousand, sixty".