61460672 has 112 divisors (see below), whose sum is σ = 153448512. Its totient is φ = 23777280.

The previous prime is 61460647. The next prime is 61460677. The reversal of 61460672 is 27606416.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (61460677) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 355178 + ... + 355350.

It is an arithmetic number, because the mean of its divisors is an integer number (1370076).

Almost surely, 2^61460672 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 61460672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76724256).

61460672 is an abundant number, since it is smaller than the sum of its proper divisors (91987840).

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

61460672 is a wasteful number, since it uses less digits than its factorization.

61460672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 61460672 is about 7839.6857079860. The cubic root of 61460672 is about 394.6381817361.

The spelling of 61460672 in words is "sixty-one million, four hundred sixty thousand, six hundred seventy-two".