61871040 has 560 divisors, whose sum is σ = 283244544. Its totient is φ = 12441600.

The previous prime is 61871039. The next prime is 61871057. The reversal of 61871040 is 4017816.

It is a happy number.

61871040 is a `hidden beast` number, since 618 + 7 + 1 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a junction number, because it is equal to n+sod(n) for n = 61870995 and 61871013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1995825 + ... + 1995855.

Almost surely, 2^61871040 is an apocalyptic number.

61871040 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 61871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141622272).

61871040 is an abundant number, since it is smaller than the sum of its proper divisors (221373504).

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

61871040 is a wasteful number, since it uses less digits than its factorization.

61871040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 59 counting only the distinct ones).

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

The square root of 61871040 is about 7865.8146431250. The cubic root of 61871040 is about 395.5145566694.

Adding to 61871040 its reverse (4017816), we get a palindrome (65888856).

It can be divided in two parts, 6187 and 1040, that added together give a palindrome (7227).

The spelling of 61871040 in words is "sixty-one million, eight hundred seventy-one thousand, forty".