967759488 has 160 divisors (see below), whose sum is σ = 2973928320. Its totient is φ = 312076800.

The previous prime is 967759483. The next prime is 967759501. The reversal of 967759488 is 884957769.

967759488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×967759488² = 1873116853228044288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (967759483) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 319903 + ... + 322913.

It is an arithmetic number, because the mean of its divisors is an integer number (18587052).

Almost surely, 2^967759488 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 967759488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486964160).

967759488 is an abundant number, since it is smaller than the sum of its proper divisors (2006168832).

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

967759488 is a wasteful number, since it uses less digits than its factorization.

967759488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3068 (or 3047 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 63.

The square root of 967759488 is about 31108.8329578594. The cubic root of 967759488 is about 989.1355539445.

The spelling of 967759488 in words is "nine hundred sixty-seven million, seven hundred fifty-nine thousand, four hundred eighty-eight".