964080 has 120 divisors (see below), whose sum is σ = 3520608. Its totient is φ = 235008.

The previous prime is 964049. The next prime is 964081. The reversal of 964080 is 80469.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (964081) by changing a digit.

964080 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 23 ways as a sum of consecutive naturals, for example, 9309 + ... + 9411.

2⁹⁶⁴⁰⁸⁰ is an apocalyptic number.

964080 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 964080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760304).

964080 is an abundant number, since it is smaller than the sum of its proper divisors (2556528).

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

964080 is a wasteful number, since it uses less digits than its factorization.

964080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 964080 is about 981.8757558877. The cubic root of 964080 is about 98.7880374749.

The spelling of 964080 in words is "nine hundred sixty-four thousand, eighty".