960154000 has 80 divisors (see below), whose sum is σ = 2500308720. Its totient is φ = 354508800.

The previous prime is 960153991. The next prime is 960154001. The reversal of 960154000 is 451069.

It can be written as a sum of positive squares in 8 ways, for example, as 381655296 + 578498704 = 19536^2 + 24052^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (960154001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7536 + ... + 44464.

It is an arithmetic number, because the mean of its divisors is an integer number (31253859).

Almost surely, 2^960154000 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 960154000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250154360).

960154000 is an abundant number, since it is smaller than the sum of its proper divisors (1540154720).

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

960154000 is a wasteful number, since it uses less digits than its factorization.

960154000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36965 (or 36949 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 960154000 is about 30986.3518343157. The cubic root of 960154000 is about 986.5375764478.

The spelling of 960154000 in words is "nine hundred sixty million, one hundred fifty-four thousand".