1088648400 has 480 divisors, whose sum is σ = 4262227200. Its totient is φ = 232243200.

The previous prime is 1088648399. The next prime is 1088648419. The reversal of 1088648400 is 48468801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9987546 + ... + 9987654.

It is an arithmetic number, because the mean of its divisors is an integer number (8879640).

Almost surely, 2^1088648400 is an apocalyptic number.

1088648400 is a gapful number since it is divisible by the number (10) 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 1088648400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2131113600).

1088648400 is an abundant number, since it is smaller than the sum of its proper divisors (3173578800).

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

1088648400 is a wasteful number, since it uses less digits than its factorization.

1088648400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 1088648400 is about 32994.6722972058. The cubic root of 1088648400 is about 1028.7169117408.

It can be divided in two parts, 108864 and 8400, that multiplied together give a square (914457600 = 30240²).

The spelling of 1088648400 in words is "one billion, eighty-eight million, six hundred forty-eight thousand, four hundred".