60464640 has 80 divisors (see below), whose sum is σ = 193322448. Its totient is φ = 16121856.

The previous prime is 60464639. The next prime is 60464653. The reversal of 60464640 is 4646406.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 60464598 and 60464607.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 3744 + ... + 11616.

Almost surely, 2^60464640 is an apocalyptic number.

60464640 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 60464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96661224).

60464640 is an abundant number, since it is smaller than the sum of its proper divisors (132857808).

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

60464640 is an equidigital number, since it uses as much as digits as its factorization.

60464640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7899 (or 7883 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 60464640 is about 7775.9012339407. The cubic root of 60464640 is about 392.4947245291.

It can be divided in two parts, 60 and 464640, that multiplied together give a square (27878400 = 5280²).

The spelling of 60464640 in words is "sixty million, four hundred sixty-four thousand, six hundred forty".