959961600 has 360 divisors, whose sum is σ = 3705473772. Its totient is φ = 235929600.

The previous prime is 959961571. The next prime is 959961601. The reversal of 959961600 is 6169959.

It can be written as a sum of positive squares in 6 ways, for example, as 381655296 + 578306304 = 19536^2 + 24048^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (959961601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1497280 + ... + 1497920.

Almost surely, 2^959961600 is an apocalyptic number.

959961600 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 959961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852736886).

959961600 is an abundant number, since it is smaller than the sum of its proper divisors (2745512172).

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

959961600 is a wasteful number, since it uses less digits than its factorization.

959961600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 959961600 is about 30983.2470861270. The cubic root of 959961600 is about 986.4716764257.

The spelling of 959961600 in words is "nine hundred fifty-nine million, nine hundred sixty-one thousand, six hundred".