961060800 has 168 divisors, whose sum is σ = 3603646336. Its totient is φ = 219663360.

The previous prime is 961060799. The next prime is 961060801. The reversal of 961060800 is 8060169.

It is an interprime number because it is at equal distance from previous prime (961060799) and next prime (961060801).

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×961060800² = 1847275722593280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961060801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19299 + ... + 47901.

Almost surely, 2^961060800 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 961060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801823168).

961060800 is an abundant number, since it is smaller than the sum of its proper divisors (2642585536).

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

961060800 is a wasteful number, since it uses less digits than its factorization.

961060800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28635 (or 28620 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 961060800 is about 31000.9806296511. The cubic root of 961060800 is about 986.8480512241.

The spelling of 961060800 in words is "nine hundred sixty-one million, sixty thousand, eight hundred".