61671040 has 64 divisors (see below), whose sum is σ = 148550760. Its totient is φ = 24481792.

The previous prime is 61671031. The next prime is 61671067. The reversal of 61671040 is 4017616.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 49224256 + 12446784 = 7016^2 + 3528^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 61670996 and 61671014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110442 + ... + 110998.

Almost surely, 2^61671040 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 61671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74275380).

61671040 is an abundant number, since it is smaller than the sum of its proper divisors (86879720).

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

61671040 is a wasteful number, since it uses less digits than its factorization.

61671040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 61671040 is about 7853.0911111485. The cubic root of 61671040 is about 395.0879257345.

Adding to 61671040 its reverse (4017616), we get a palindrome (65688656).

The spelling of 61671040 in words is "sixty-one million, six hundred seventy-one thousand, forty".