941001600 has 768 divisors, whose sum is σ = 4128307200. Its totient is φ = 182476800.

The previous prime is 941001571. The next prime is 941001601. The reversal of 941001600 is 6100149.

It is a super-2 number, since 2×941001600² = 1770968022405120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (941001601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14044767 + ... + 14044833.

It is an arithmetic number, because the mean of its divisors is an integer number (5375400).

Almost surely, 2^941001600 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 941001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064153600).

941001600 is an abundant number, since it is smaller than the sum of its proper divisors (3187305600).

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

941001600 is a wasteful number, since it uses less digits than its factorization.

941001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 941001600 is about 30675.7493795995. The cubic root of 941001600 is about 979.9339119670.

Adding to 941001600 its reverse (6100149), we get a palindrome (947101749).

The spelling of 941001600 in words is "nine hundred forty-one million, one thousand, six hundred".