55655040 has 256 divisors, whose sum is σ = 209744640. Its totient is φ = 12288000.

The previous prime is 55655027. The next prime is 55655053. The reversal of 55655040 is 4055655.

55655040 = T₁₂₁ + T₁₂₂ + ... + T₆₉₄.

It is an interprime number because it is at equal distance from previous prime (55655027) and next prime (55655053).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 55654989 and 55655007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 550990 + ... + 551090.

It is an arithmetic number, because the mean of its divisors is an integer number (819315).

Almost surely, 2^55655040 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 55655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104872320).

55655040 is an abundant number, since it is smaller than the sum of its proper divisors (154089600).

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

55655040 is a wasteful number, since it uses less digits than its factorization.

55655040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The square root of 55655040 is about 7460.2305594398. The cubic root of 55655040 is about 381.7990408875.

The spelling of 55655040 in words is "fifty-five million, six hundred fifty-five thousand, forty".