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55770840 = 23325375379

55770840 has 192 divisors, whose sum is σ = 192067200. Its totient is φ = 14017536.

The previous prime is 55770821. The next prime is 55770853. The reversal of 55770840 is 4807755.

55770840 is a `hidden beast` number, since 5 + 577 + 0 + 84 + 0 = 666.

It is a super-2 number, since 2×557708402 = 6220773188611200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 55770795 and 55770804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 705921 + ... + 705999.

It is an arithmetic number, because the mean of its divisors is an integer number (1000350).

Almost surely, 255770840 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 55770840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96033600).

55770840 is an abundant number, since it is smaller than the sum of its proper divisors (136296360).

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

55770840 is a wasteful number, since it uses less digits than its factorization.

55770840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 55770840 is about 7467.9876807611. The cubic root of 55770840 is about 382.0636572368.

The spelling of 55770840 in words is "fifty-five million, seven hundred seventy thousand, eight hundred forty".