961113600 has 420 divisors, whose sum is σ = 3604880136. Its totient is φ = 253808640.

The previous prime is 961113589. The next prime is 961113611. The reversal of 961113600 is 6311169.

It is an interprime number because it is at equal distance from previous prime (961113589) and next prime (961113611).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 9331149 + ... + 9331251.

Almost surely, 2^961113600 is an apocalyptic number.

961113600 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 961113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802440068).

961113600 is an abundant number, since it is smaller than the sum of its proper divisors (2643766536).

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

961113600 is an equidigital number, since it uses as much as digits as its factorization.

961113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 961113600 is about 31001.8322039198. The cubic root of 961113600 is about 986.8661231376.

Adding to 961113600 its reverse (6311169), we get a palindrome (967424769).

The spelling of 961113600 in words is "nine hundred sixty-one million, one hundred thirteen thousand, six hundred".