961101624 has 128 divisors (see below), whose sum is σ = 2906265600. Its totient is φ = 258733440.

The previous prime is 961101611. The next prime is 961101641. The reversal of 961101624 is 426101169.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 961101591 and 961101600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 672799 + ... + 674225.

It is an arithmetic number, because the mean of its divisors is an integer number (22705200).

Almost surely, 2^961101624 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 961101624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453132800).

961101624 is an abundant number, since it is smaller than the sum of its proper divisors (1945163976).

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

961101624 is a wasteful number, since it uses less digits than its factorization.

961101624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 1669 counting only the distinct ones).

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

The square root of 961101624 is about 31001.6390534436. The cubic root of 961101624 is about 986.8620241570.

The spelling of 961101624 in words is "nine hundred sixty-one million, one hundred one thousand, six hundred twenty-four".