61496064 has 288 divisors, whose sum is σ = 219770880. Its totient is φ = 16588800.

The previous prime is 61496051. The next prime is 61496087. The reversal of 61496064 is 46069416.

61496064 is a `hidden beast` number, since 6 + 1 + 49 + 606 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1499884 + ... + 1499924.

Almost surely, 2^61496064 is an apocalyptic number.

61496064 is a gapful number since it is divisible by the number (64) 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 61496064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109885440).

61496064 is an abundant number, since it is smaller than the sum of its proper divisors (158274816).

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

61496064 is a wasteful number, since it uses less digits than its factorization.

61496064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 61496064 is about 7841.9426164695. The cubic root of 61496064 is about 394.7139177255.

The spelling of 61496064 in words is "sixty-one million, four hundred ninety-six thousand, sixty-four".