61448160 has 96 divisors (see below), whose sum is σ = 194654880. Its totient is φ = 16293888.

The previous prime is 61448143. The next prime is 61448197. The reversal of 61448160 is 6184416.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150036 + ... + 150444.

It is an arithmetic number, because the mean of its divisors is an integer number (2027655).

Almost surely, 2^61448160 is an apocalyptic number.

61448160 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 61448160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97327440).

61448160 is an abundant number, since it is smaller than the sum of its proper divisors (133206720).

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

61448160 is a wasteful number, since it uses less digits than its factorization.

61448160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 61448160 is about 7838.8876761949. The cubic root of 61448160 is about 394.6114001218.

The spelling of 61448160 in words is "sixty-one million, four hundred forty-eight thousand, one hundred sixty".