61425600 has 168 divisors, whose sum is σ = 205605888. Its totient is φ = 16051200.

The previous prime is 61425599. The next prime is 61425619. The reversal of 61425600 is 652416.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 321505 + ... + 321695.

Almost surely, 2^61425600 is an apocalyptic number.

61425600 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 61425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102802944).

61425600 is an abundant number, since it is smaller than the sum of its proper divisors (144180288).

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

61425600 is a wasteful number, since it uses less digits than its factorization.

61425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 61425600 is about 7837.4485644245. The cubic root of 61425600 is about 394.5631018332.

The spelling of 61425600 in words is "sixty-one million, four hundred twenty-five thousand, six hundred".