960135000 has 360 divisors, whose sum is σ = 3446506140. Its totient is φ = 222640000.

The previous prime is 960134971. The next prime is 960135013. The reversal of 960135000 is 531069.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 41744989 + ... + 41745011.

Almost surely, 2^960135000 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 960135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723253070).

960135000 is an abundant number, since it is smaller than the sum of its proper divisors (2486371140).

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

960135000 is a wasteful number, since it uses less digits than its factorization.

960135000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 960135000 is about 30986.0452462072. The cubic root of 960135000 is about 986.5310690412.

Multiplying 960135000 by its sum of digits (24), we get a square (23043240000 = 151800²).

960135000 divided by its sum of digits (24) gives a square (40005625 = 6325²).

Adding to 960135000 its reverse (531069), we get a palindrome (960666069).

The spelling of 960135000 in words is "nine hundred sixty million, one hundred thirty-five thousand".