96050400 has 144 divisors (see below), whose sum is σ = 322979328. Its totient is φ = 24768000.

The previous prime is 96050399. The next prime is 96050419. The reversal of 96050400 is 405069.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73755 + ... + 75045.

It is an arithmetic number, because the mean of its divisors is an integer number (2242912).

Almost surely, 2^96050400 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 96050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161489664).

96050400 is an abundant number, since it is smaller than the sum of its proper divisors (226928928).

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

96050400 is a wasteful number, since it uses less digits than its factorization.

96050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 96050400 is about 9800.5305978809. The cubic root of 96050400 is about 457.9658129997.

Adding to 96050400 its reverse (405069), we get a palindrome (96455469).

It can be divided in two parts, 960 and 50400, that added together give a triangular number (51360 = T₃₂₀).

The spelling of 96050400 in words is "ninety-six million, fifty thousand, four hundred".