996416544 has 192 divisors, whose sum is σ = 2874009600. Its totient is φ = 301206528.

The previous prime is 996416501. The next prime is 996416581. The reversal of 996416544 is 445614699.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 996416493 and 996416502.

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, 5057854 + ... + 5058050.

It is an arithmetic number, because the mean of its divisors is an integer number (14968800).

Almost surely, 2^996416544 is an apocalyptic number.

996416544 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 996416544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437004800).

996416544 is an abundant number, since it is smaller than the sum of its proper divisors (1877593056).

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

996416544 is a wasteful number, since it uses less digits than its factorization.

996416544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 327 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The square root of 996416544 is about 31566.0663371285. The cubic root of 996416544 is about 998.8040850242.

The spelling of 996416544 in words is "nine hundred ninety-six million, four hundred sixteen thousand, five hundred forty-four".