961269624 has 192 divisors, whose sum is σ = 3175511040. Its totient is φ = 256435200.

The previous prime is 961269623. The next prime is 961269629. The reversal of 961269624 is 426962169.

961269624 is a `hidden beast` number, since 9 + 6 + 12 + 6 + 9 + 624 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 961269624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961269623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1293397 + ... + 1294139.

It is an arithmetic number, because the mean of its divisors is an integer number (16539120).

Almost surely, 2^961269624 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 961269624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587755520).

961269624 is an abundant number, since it is smaller than the sum of its proper divisors (2214241416).

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

961269624 is a wasteful number, since it uses less digits than its factorization.

961269624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 923 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 961269624 is about 31004.3484692067. The cubic root of 961269624 is about 986.9195217746.

The spelling of 961269624 in words is "nine hundred sixty-one million, two hundred sixty-nine thousand, six hundred twenty-four".