55746900 has 144 divisors (see below), whose sum is σ = 195612480. Its totient is φ = 13507200.

The previous prime is 55746883. The next prime is 55746947. The reversal of 55746900 is 964755.

It is a super-2 number, since 2×55746900² = 6215433719220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 28762 + ... + 30638.

It is an arithmetic number, because the mean of its divisors is an integer number (1358420).

Almost surely, 2^55746900 is an apocalyptic number.

55746900 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 55746900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97806240).

55746900 is an abundant number, since it is smaller than the sum of its proper divisors (139865580).

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

55746900 is a wasteful number, since it uses less digits than its factorization.

55746900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911 (or 1898 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 55746900 is about 7466.3846672938. The cubic root of 55746900 is about 382.0089816333.

The spelling of 55746900 in words is "fifty-five million, seven hundred forty-six thousand, nine hundred".