61370400 has 288 divisors, whose sum is σ = 246734208. Its totient is φ = 12902400.

The previous prime is 61370381. The next prime is 61370411. The reversal of 61370400 is 407316.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 218260 + ... + 218540.

It is an arithmetic number, because the mean of its divisors is an integer number (856716).

Almost surely, 2^61370400 is an apocalyptic number.

61370400 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 61370400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123367104).

61370400 is an abundant number, since it is smaller than the sum of its proper divisors (185363808).

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

61370400 is a wasteful number, since it uses less digits than its factorization.

61370400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 61370400 is about 7833.9262186977. The cubic root of 61370400 is about 394.4448752815. Note that the first 3 decimals are identical.

Adding to 61370400 its reverse (407316), we get a palindrome (61777716).

The spelling of 61370400 in words is "sixty-one million, three hundred seventy thousand, four hundred".