55949040 has 240 divisors, whose sum is σ = 227717568. Its totient is φ = 12017664.

The previous prime is 55949039. The next prime is 55949059. The reversal of 55949040 is 4094955.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 55948986 and 55949004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85354 + ... + 86006.

Almost surely, 2^55949040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55949040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113858784).

55949040 is an abundant number, since it is smaller than the sum of its proper divisors (171768528).

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

55949040 is a wasteful number, since it uses less digits than its factorization.

55949040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 55949040 is about 7479.9090903566. The cubic root of 55949040 is about 382.4701501761.

The spelling of 55949040 in words is "fifty-five million, nine hundred forty-nine thousand, forty".