61554400 has 36 divisors (see below), whose sum is σ = 150271632. Its totient is φ = 24621440.

The previous prime is 61554293. The next prime is 61554401. The reversal of 61554400 is 445516.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61554401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37672 + ... + 39271.

It is an arithmetic number, because the mean of its divisors is an integer number (4174212).

Almost surely, 2^61554400 is an apocalyptic number.

It is an amenable number.

61554400 is an abundant number, since it is smaller than the sum of its proper divisors (88717232).

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

61554400 is a wasteful number, since it uses less digits than its factorization.

61554400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76963 (or 76950 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 61554400 is about 7845.6612213376. The cubic root of 61554400 is about 394.8386886052.

Adding to 61554400 its reverse (445516), we get a palindrome (61999916).

The spelling of 61554400 in words is "sixty-one million, five hundred fifty-four thousand, four hundred".