61242400 has 72 divisors (see below), whose sum is σ = 153622980. Its totient is φ = 23823360.

The previous prime is 61242383. The next prime is 61242409. The reversal of 61242400 is 424216.

It can be written as a sum of positive squares in 6 ways, for example, as 24324624 + 36917776 = 4932^2 + 6076^2 .

It is not an unprimeable number, because it can be changed into a prime (61242409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28566 + ... + 30634.

Almost surely, 2^61242400 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 61242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76811490).

61242400 is an abundant number, since it is smaller than the sum of its proper divisors (92380580).

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

61242400 is a wasteful number, since it uses less digits than its factorization.

61242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2126 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 61242400 is about 7825.7523599971. The cubic root of 61242400 is about 394.1704537020.

Adding to 61242400 its reverse (424216), we get a palindrome (61666616).

The spelling of 61242400 in words is "sixty-one million, two hundred forty-two thousand, four hundred".