55340032 has 88 divisors (see below), whose sum is σ = 128224080. Its totient is φ = 23674880.

The previous prime is 55340023. The next prime is 55340039. The reversal of 55340032 is 23004355.

It is a tau number, because it is divible by the number of its divisors (88).

It is a super-2 number, since 2×55340032² = 6125038283522048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 55339985 and 55340012.

It is not an unprimeable number, because it can be changed into a prime (55340039) 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, 3255288 + ... + 3255304.

Almost surely, 2^55340032 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 55340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64112040).

55340032 is an abundant number, since it is smaller than the sum of its proper divisors (72884048).

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

55340032 is an equidigital number, since it uses as much as digits as its factorization.

55340032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 22.

The square root of 55340032 is about 7439.0881161605. The cubic root of 55340032 is about 381.0773489691.

55340032 divided by its sum of digits (22) gives a cube (2515456 = 136³).

Adding to 55340032 its reverse (23004355), we get a palindrome (78344387).

The spelling of 55340032 in words is "fifty-five million, three hundred forty thousand, thirty-two".