55762416 has 120 divisors (see below), whose sum is σ = 166842000. Its totient is φ = 17335296.

The previous prime is 55762409. The next prime is 55762417. The reversal of 55762416 is 61426755.

It is a happy number.

55762416 is a `hidden beast` number, since 557 + 62 + 41 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55762417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243390 + ... + 243618.

It is an arithmetic number, because the mean of its divisors is an integer number (1390350).

Almost surely, 2^55762416 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 55762416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83421000).

55762416 is an abundant number, since it is smaller than the sum of its proper divisors (111079584).

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

55762416 is a wasteful number, since it uses less digits than its factorization.

55762416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 342 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 55762416 is about 7467.4236521038. The cubic root of 55762416 is about 382.0444197864.

The spelling of 55762416 in words is "fifty-five million, seven hundred sixty-two thousand, four hundred sixteen".