61496160 has 192 divisors, whose sum is σ = 222808320. Its totient is φ = 14100480.

The previous prime is 61496143. The next prime is 61496167. The reversal of 61496160 is 6169416.

61496160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61496167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100014 + ... + 100626.

It is an arithmetic number, because the mean of its divisors is an integer number (1160460).

Almost surely, 2^61496160 is an apocalyptic number.

61496160 is a gapful number since it is divisible by the number (60) 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 61496160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111404160).

61496160 is an abundant number, since it is smaller than the sum of its proper divisors (161312160).

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

61496160 is a wasteful number, since it uses less digits than its factorization.

61496160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 61496160 is about 7841.9487373994. The cubic root of 61496160 is about 394.7141231182.

The spelling of 61496160 in words is "sixty-one million, four hundred ninety-six thousand, one hundred sixty".