61147008 has 128 divisors (see below), whose sum is σ = 194493600. Its totient is φ = 18800640.

The previous prime is 61147003. The next prime is 61147019. The reversal of 61147008 is 80074116.

It is a happy number.

61147008 is a `hidden beast` number, since 611 + 47 + 0 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61147003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44248 + ... + 45608.

Almost surely, 2^61147008 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 61147008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97246800).

61147008 is an abundant number, since it is smaller than the sum of its proper divisors (133346592).

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

61147008 is a wasteful number, since it uses less digits than its factorization.

61147008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397 (or 1379 counting only the distinct ones).

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

The square root of 61147008 is about 7819.6552353668. The cubic root of 61147008 is about 393.9656922552.

The spelling of 61147008 in words is "sixty-one million, one hundred forty-seven thousand, eight".