61255440 has 240 divisors, whose sum is σ = 224235648. Its totient is φ = 15510528.

The previous prime is 61255427. The next prime is 61255451. The reversal of 61255440 is 4455216.

61255440 is a `hidden beast` number, since 612 + 5 + 5 + 4 + 40 = 666.

61255440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×61255440³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 447052 + ... + 447188.

Almost surely, 2^61255440 is an apocalyptic number.

61255440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61255440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112117824).

61255440 is an abundant number, since it is smaller than the sum of its proper divisors (162980208).

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

61255440 is a wasteful number, since it uses less digits than its factorization.

61255440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 61255440 is about 7826.5854623840. The cubic root of 61255440 is about 394.1984278831.

The spelling of 61255440 in words is "sixty-one million, two hundred fifty-five thousand, four hundred forty".