55706700 has 144 divisors (see below), whose sum is σ = 188987904. Its totient is φ = 12403200.

The previous prime is 55706699. The next prime is 55706701. The reversal of 55706700 is 760755.

It is an interprime number because it is at equal distance from previous prime (55706699) and next prime (55706701).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55706701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85777 + ... + 86423.

It is an arithmetic number, because the mean of its divisors is an integer number (1312416).

Almost surely, 2^55706700 is an apocalyptic number.

55706700 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 55706700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94493952).

55706700 is an abundant number, since it is smaller than the sum of its proper divisors (133281204).

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

55706700 is a wasteful number, since it uses less digits than its factorization.

55706700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 30.

The square root of 55706700 is about 7463.6921158365. The cubic root of 55706700 is about 381.9171352473.

The spelling of 55706700 in words is "fifty-five million, seven hundred six thousand, seven hundred".