967915872 has 192 divisors, whose sum is σ = 3519936000. Its totient is φ = 251389440.

The previous prime is 967915849. The next prime is 967915913. The reversal of 967915872 is 278519769.

It is a super-3 number, since 3×967915872³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 59254 + ... + 73802.

It is an arithmetic number, because the mean of its divisors is an integer number (18333000).

Almost surely, 2^967915872 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 967915872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759968000).

967915872 is an abundant number, since it is smaller than the sum of its proper divisors (2552020128).

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

967915872 is a wasteful number, since it uses less digits than its factorization.

967915872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14586 (or 14572 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 54.

The square root of 967915872 is about 31111.3463546662. The cubic root of 967915872 is about 989.1888304886.

The spelling of 967915872 in words is "nine hundred sixty-seven million, nine hundred fifteen thousand, eight hundred seventy-two".