967538520 has 576 divisors, whose sum is σ = 3836851200. Its totient is φ = 218350080.

The previous prime is 967538519. The next prime is 967538531. The reversal of 967538520 is 25835769.

It is a happy number.

967538520 is a `hidden beast` number, since 9 + 67 + 538 + 52 + 0 = 666.

It is a super-2 number, since 2×967538520² = 1872261575367580800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31210905 + ... + 31210935.

It is an arithmetic number, because the mean of its divisors is an integer number (6661200).

Almost surely, 2^967538520 is an apocalyptic number.

967538520 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 967538520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918425600).

967538520 is an abundant number, since it is smaller than the sum of its proper divisors (2869312680).

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

967538520 is a wasteful number, since it uses less digits than its factorization.

967538520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 967538520 is about 31105.2812236122. The cubic root of 967538520 is about 989.0602652855.

The spelling of 967538520 in words is "nine hundred sixty-seven million, five hundred thirty-eight thousand, five hundred twenty".