56070144 has 195 divisors, whose sum is σ = 181373313. Its totient is φ = 17252352.

The previous prime is 56070109. The next prime is 56070149. The reversal of 56070144 is 44107065.

The square root of 56070144 is 7488.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8294400 + 47775744 = 2880^2 + 6912^2 .

It is a super-2 number, since 2×56070144² = 6287722096361472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (56070149) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4313082 + ... + 4313094.

Almost surely, 2^56070144 is an apocalyptic number.

56070144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

56070144 is the 7488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56070144

56070144 is an abundant number, since it is smaller than the sum of its proper divisors (125303169).

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

56070144 is an equidigital number, since it uses as much as digits as its factorization.

56070144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The cubic root of 56070144 is about 382.7459087690.

The spelling of 56070144 in words is "fifty-six million, seventy thousand, one hundred forty-four".