55362064 has 40 divisors (see below), whose sum is σ = 116664408. Its totient is φ = 25344000.

The previous prime is 55362061. The next prime is 55362077. The reversal of 55362064 is 46026355.

It can be written as a sum of positive squares in 4 ways, for example, as 43665664 + 11696400 = 6608^2 + 3420^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55362061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7314 + ... + 12814.

Almost surely, 2^55362064 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 55362064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58332204).

55362064 is an abundant number, since it is smaller than the sum of its proper divisors (61302344).

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

55362064 is a wasteful number, since it uses less digits than its factorization.

55362064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5563 (or 5557 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 55362064 is about 7440.5687954618. The cubic root of 55362064 is about 381.1279138249.

The spelling of 55362064 in words is "fifty-five million, three hundred sixty-two thousand, sixty-four".