55642900 has 36 divisors (see below), whose sum is σ = 122804640. Its totient is φ = 21877600.

The previous prime is 55642883. The next prime is 55642901. The reversal of 55642900 is 924655.

It is a super-3 number, since 3×55642900³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55642901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1185 + ... + 10615.

It is an arithmetic number, because the mean of its divisors is an integer number (3411240).

Almost surely, 2^55642900 is an apocalyptic number.

55642900 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 55642900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61402320).

55642900 is an abundant number, since it is smaller than the sum of its proper divisors (67161740).

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

55642900 is a wasteful number, since it uses less digits than its factorization.

55642900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9504 (or 9497 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 55642900 is about 7459.4168672893. The cubic root of 55642900 is about 381.7712783380.

It can be divided in two parts, 5564 and 2900, that added together give a square (8464 = 92²).

The spelling of 55642900 in words is "fifty-five million, six hundred forty-two thousand, nine hundred".