610721400 has 96 divisors (see below), whose sum is σ = 1897378560. Its totient is φ = 162503040.

The previous prime is 610721357. The next prime is 610721467. The reversal of 610721400 is 4127016.

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, 385009 + ... + 386591.

It is an arithmetic number, because the mean of its divisors is an integer number (19764360).

Almost surely, 2^610721400 is an apocalyptic number.

610721400 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 610721400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948689280).

610721400 is an abundant number, since it is smaller than the sum of its proper divisors (1286657160).

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

610721400 is a wasteful number, since it uses less digits than its factorization.

610721400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2245 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 610721400 is about 24712.7780712732. The cubic root of 610721400 is about 848.4268017366.

Adding to 610721400 its reverse (4127016), we get a palindrome (614848416).

The spelling of 610721400 in words is "six hundred ten million, seven hundred twenty-one thousand, four hundred".