55767040 has 104 divisors (see below), whose sum is σ = 153335520. Its totient is φ = 19070976.

The previous prime is 55767037. The next prime is 55767043. The reversal of 55767040 is 4076755.

It is an interprime number because it is at equal distance from previous prime (55767037) and next prime (55767043).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 55766987 and 55767005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55767043) 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, 143166 + ... + 143554.

It is an arithmetic number, because the mean of its divisors is an integer number (1474380).

Almost surely, 2^55767040 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 55767040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76667760).

55767040 is an abundant number, since it is smaller than the sum of its proper divisors (97568480).

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

55767040 is an equidigital number, since it uses as much as digits as its factorization.

55767040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 34.

The square root of 55767040 is about 7467.7332571537. The cubic root of 55767040 is about 382.0549796144.

The spelling of 55767040 in words is "fifty-five million, seven hundred sixty-seven thousand, forty".