967287048 has 288 divisors, whose sum is σ = 3164348160. Its totient is φ = 245306880.

The previous prime is 967287019. The next prime is 967287071. The reversal of 967287048 is 840782769.

967287048 is a modest number, since divided by 87048 gives 9672 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6160986 + ... + 6161142.

It is an arithmetic number, because the mean of its divisors is an integer number (10987320).

Almost surely, 2^967287048 is an apocalyptic number.

967287048 is a gapful number since it is divisible by the number (98) 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 967287048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582174080).

967287048 is an abundant number, since it is smaller than the sum of its proper divisors (2197061112).

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

967287048 is a wasteful number, since it uses less digits than its factorization.

967287048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The square root of 967287048 is about 31101.2386891583. The cubic root of 967287048 is about 988.9745692953.

It can be divided in two parts, 9672 and 87048, that multiplied together give a square (841928256 = 29016²).

The spelling of 967287048 in words is "nine hundred sixty-seven million, two hundred eighty-seven thousand, forty-eight".