61253920 has 144 divisors (see below), whose sum is σ = 181589688. Its totient is φ = 19353600.

The previous prime is 61253827. The next prime is 61253921. The reversal of 61253920 is 2935216.

It can be written as a sum of positive squares in 4 ways, for example, as 48608784 + 12645136 = 6972^2 + 3556^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (61253921) 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 23 ways as a sum of consecutive naturals, for example, 101620 + ... + 102220.

Almost surely, 2^61253920 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 61253920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90794844).

61253920 is an abundant number, since it is smaller than the sum of its proper divisors (120335768).

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

61253920 is a wasteful number, since it uses less digits than its factorization.

61253920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 61253920 is about 7826.4883568558. The cubic root of 61253920 is about 394.1951672934.

It can be divided in two parts, 6125 and 3920, that multiplied together give a 4-th power (24010000 = 70⁴).

The spelling of 61253920 in words is "sixty-one million, two hundred fifty-three thousand, nine hundred twenty".