61071840 has 192 divisors, whose sum is σ = 217969920. Its totient is φ = 15966720.

The previous prime is 61071823. The next prime is 61071851. The reversal of 61071840 is 4817016.

It is a happy number.

61071840 is a `hidden beast` number, since 610 + 7 + 1 + 8 + 40 = 666.

61071840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 289335 + ... + 289545.

It is an arithmetic number, because the mean of its divisors is an integer number (1135260).

Almost surely, 2^61071840 is an apocalyptic number.

61071840 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 61071840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108984960).

61071840 is an abundant number, since it is smaller than the sum of its proper divisors (156898080).

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

61071840 is a wasteful number, since it uses less digits than its factorization.

61071840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 61071840 is about 7814.8474073394. The cubic root of 61071840 is about 393.8041920876.

Adding to 61071840 its reverse (4817016), we get a palindrome (65888856).

The spelling of 61071840 in words is "sixty-one million, seventy-one thousand, eight hundred forty".