61280400 has 120 divisors (see below), whose sum is σ = 198042880. Its totient is φ = 16197120.

The previous prime is 61280353. The next prime is 61280413. The reversal of 61280400 is 408216.

It is a tau number, because it is divible by the number of its divisors (120).

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, 267486 + ... + 267714.

Almost surely, 2^61280400 is an apocalyptic number.

61280400 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 61280400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99021440).

61280400 is an abundant number, since it is smaller than the sum of its proper divisors (136762480).

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

61280400 is a wasteful number, since it uses less digits than its factorization.

61280400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 61280400 is about 7828.1798650772. The cubic root of 61280400 is about 394.2519624843.

Adding to 61280400 its reverse (408216), we get a palindrome (61688616).

The spelling of 61280400 in words is "sixty-one million, two hundred eighty thousand, four hundred".