61473600 has 168 divisors, whose sum is σ = 224251520. Its totient is φ = 16381440.

The previous prime is 61473583. The next prime is 61473611. The reversal of 61473600 is 637416.

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

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, 42489 + ... + 43911.

Almost surely, 2^61473600 is an apocalyptic number.

61473600 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 61473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112125760).

61473600 is an abundant number, since it is smaller than the sum of its proper divisors (162777920).

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

61473600 is a wasteful number, since it uses less digits than its factorization.

61473600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 61473600 is about 7840.5101874814. The cubic root of 61473600 is about 394.6658499699.

The spelling of 61473600 in words is "sixty-one million, four hundred seventy-three thousand, six hundred".