960365700 has 576 divisors, whose sum is σ = 3874752000. Its totient is φ = 203212800.

The previous prime is 960365699. The next prime is 960365729. The reversal of 960365700 is 7563069.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15743670 + ... + 15743730.

It is an arithmetic number, because the mean of its divisors is an integer number (6727000).

Almost surely, 2^960365700 is an apocalyptic number.

960365700 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 960365700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937376000).

960365700 is an abundant number, since it is smaller than the sum of its proper divisors (2914386300).

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

960365700 is a wasteful number, since it uses less digits than its factorization.

960365700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 960365700 is about 30989.7676661184. The cubic root of 960365700 is about 986.6100768514.

The spelling of 960365700 in words is "nine hundred sixty million, three hundred sixty-five thousand, seven hundred".