55946000 has 80 divisors (see below), whose sum is σ = 147633408. Its totient is φ = 20336000.

The previous prime is 55945999. The next prime is 55946029. The reversal of 55946000 is 64955.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20729 + ... + 23271.

Almost surely, 2^55946000 is an apocalyptic number.

55946000 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 55946000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73816704).

55946000 is an abundant number, since it is smaller than the sum of its proper divisors (91687408).

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

55946000 is a wasteful number, since it uses less digits than its factorization.

55946000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2577 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 55946000 is about 7479.7058765703. The cubic root of 55946000 is about 382.4632228584.

The spelling of 55946000 in words is "fifty-five million, nine hundred forty-six thousand".