61328400 has 240 divisors, whose sum is σ = 230640000. Its totient is φ = 13923840.

The previous prime is 61328389. The next prime is 61328413. The reversal of 61328400 is 482316.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×61328400² = 7522345293120000, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 411526 + ... + 411674.

It is an arithmetic number, because the mean of its divisors is an integer number (961000).

Almost surely, 2^61328400 is an apocalyptic number.

61328400 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 61328400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115320000).

61328400 is an abundant number, since it is smaller than the sum of its proper divisors (169311600).

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

61328400 is a wasteful number, since it uses less digits than its factorization.

61328400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 61328400 is about 7831.2451117303. The cubic root of 61328400 is about 394.3548727969.

The spelling of 61328400 in words is "sixty-one million, three hundred twenty-eight thousand, four hundred".