61171488 has 144 divisors (see below), whose sum is σ = 209401920. Its totient is φ = 16547328.

The previous prime is 61171477. The next prime is 61171489. The reversal of 61171488 is 88417116.

61171488 is a `hidden beast` number, since 6 + 1 + 171 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (61171489) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37506 + ... + 39102.

It is an arithmetic number, because the mean of its divisors is an integer number (1454180).

Almost surely, 2^61171488 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 61171488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104700960).

61171488 is an abundant number, since it is smaller than the sum of its proper divisors (148230432).

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

61171488 is a wasteful number, since it uses less digits than its factorization.

61171488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639 (or 1628 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The square root of 61171488 is about 7821.2203651348. The cubic root of 61171488 is about 394.0182595229.

The spelling of 61171488 in words is "sixty-one million, one hundred seventy-one thousand, four hundred eighty-eight".