967788 has 60 divisors (see below), whose sum is σ = 2642640. Its totient is φ = 308448.

The previous prime is 967787. The next prime is 967819. The reversal of 967788 is 887769.

967788 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 2×967788² = 1873227225888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (967781) 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, 9345 + ... + 9447.

It is an arithmetic number, because the mean of its divisors is an integer number (44044).

2⁹⁶⁷⁷⁸⁸ 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 967788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321320).

967788 is an abundant number, since it is smaller than the sum of its proper divisors (1674852).

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

967788 is a wasteful number, since it uses less digits than its factorization.

967788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 137 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 967788 is about 983.7621663797. The cubic root of 967788 is about 98.9145267775.

The spelling of 967788 in words is "nine hundred sixty-seven thousand, seven hundred eighty-eight".