61464240 has 120 divisors (see below), whose sum is σ = 217329840. Its totient is φ = 15524352.

The previous prime is 61464229. The next prime is 61464269. The reversal of 61464240 is 4246416.

61464240 is a `hidden beast` number, since 6 + 14 + 642 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11434 + ... + 15926.

It is an arithmetic number, because the mean of its divisors is an integer number (1811082).

Almost surely, 2^61464240 is an apocalyptic number.

61464240 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 61464240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108664920).

61464240 is an abundant number, since it is smaller than the sum of its proper divisors (155865600).

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

61464240 is a wasteful number, since it uses less digits than its factorization.

61464240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4531 (or 4522 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 61464240 is about 7839.9132648263. The cubic root of 61464240 is about 394.6458182823.

The spelling of 61464240 in words is "sixty-one million, four hundred sixty-four thousand, two hundred forty".