961801000 has 64 divisors (see below), whose sum is σ = 2255273280. Its totient is φ = 383924800.

The previous prime is 961800991. The next prime is 961801019. The reversal of 961801000 is 108169.

It is a super-2 number, since 2×961801000² = 1850122327202000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 826419 + ... + 827581.

It is an arithmetic number, because the mean of its divisors is an integer number (35238645).

Almost surely, 2^961801000 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 961801000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127636640).

961801000 is an abundant number, since it is smaller than the sum of its proper divisors (1293472280).

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

961801000 is a wasteful number, since it uses less digits than its factorization.

961801000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 961801000 is about 31012.9166638677. The cubic root of 961801000 is about 987.1013399079.

Adding to 961801000 its reverse (108169), we get a palindrome (961909169).

The spelling of 961801000 in words is "nine hundred sixty-one million, eight hundred one thousand".