55706400 has 144 divisors (see below), whose sum is σ = 201549600. Its totient is φ = 14849280.

The previous prime is 55706383. The next prime is 55706407. The reversal of 55706400 is 460755.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (55706407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20311 + ... + 22889.

It is an arithmetic number, because the mean of its divisors is an integer number (1399650).

Almost surely, 2^55706400 is an apocalyptic number.

55706400 is a gapful number since it is divisible by the number (50) 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 55706400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100774800).

55706400 is an abundant number, since it is smaller than the sum of its proper divisors (145843200).

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

55706400 is a wasteful number, since it uses less digits than its factorization.

55706400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2608 (or 2589 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 55706400 is about 7463.6720185174. The cubic root of 55706400 is about 381.9164496604.

The spelling of 55706400 in words is "fifty-five million, seven hundred six thousand, four hundred".