61430976 has 84 divisors (see below), whose sum is σ = 183776112. Its totient is φ = 19582464.

The previous prime is 61430921. The next prime is 61431001. The reversal of 61430976 is 67903416.

61430976 is a `hidden beast` number, since 614 + 30 + 9 + 7 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 61430976.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10930 + ... + 15566.

Almost surely, 2^61430976 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 61430976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91888056).

61430976 is an abundant number, since it is smaller than the sum of its proper divisors (122345136).

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

61430976 is a wasteful number, since it uses less digits than its factorization.

61430976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4678 (or 4665 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 61430976 is about 7837.7915256786. The cubic root of 61430976 is about 394.5746122857.

The spelling of 61430976 in words is "sixty-one million, four hundred thirty thousand, nine hundred seventy-six".