55338690 has 96 divisors (see below), whose sum is σ = 151937856. Its totient is φ = 12791680.

The previous prime is 55338683. The next prime is 55338691. The reversal of 55338690 is 9683355.

55338690 = 388² + 389² + ... + 607².

It is a super-2 number, since 2×55338690² = 6124741221832200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55338691) 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, 174412 + ... + 174728.

It is an arithmetic number, because the mean of its divisors is an integer number (1582686).

Almost surely, 2^55338690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55338690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75968928).

55338690 is an abundant number, since it is smaller than the sum of its proper divisors (96599166).

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

55338690 is a wasteful number, since it uses less digits than its factorization.

55338690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 55338690 is about 7438.9979163863. The cubic root of 55338690 is about 381.0742685593.

The spelling of 55338690 in words is "fifty-five million, three hundred thirty-eight thousand, six hundred ninety".