967680 has 176 divisors, whose sum is σ = 3930240. Its totient is φ = 221184.

The previous prime is 967667. The next prime is 967693. The reversal of 967680 is 86769.

It is a Jordan-Polya number, since it can be written as 8! ⋅ 4!.

It is an interprime number because it is at equal distance from previous prime (967667) and next prime (967693).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is an unprimeable number.

967680 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138237 + ... + 138243.

2⁹⁶⁷⁶⁸⁰ is an apocalyptic number.

967680 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 967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965120).

967680 is an abundant number, since it is smaller than the sum of its proper divisors (2962560).

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

967680 is a wasteful number, since it uses less digits than its factorization.

967680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 967680 is about 983.7072735321. The cubic root of 967680 is about 98.9108471954.

It can be divided in two parts, 96 and 7680, that added together give a 5-th power (7776 = 6⁵).

The spelling of 967680 in words is "nine hundred sixty-seven thousand, six hundred eighty".