610880400 has 480 divisors, whose sum is σ = 2475536000. Its totient is φ = 141834240.

The previous prime is 610880383. The next prime is 610880401. The reversal of 610880400 is 4088016.

610880400 is a `hidden beast` number, since 610 + 8 + 8 + 0 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (610880401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2667486 + ... + 2667714.

Almost surely, 2^610880400 is an apocalyptic number.

610880400 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 610880400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237768000).

610880400 is an abundant number, since it is smaller than the sum of its proper divisors (1864655600).

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

610880400 is a wasteful number, since it uses less digits than its factorization.

610880400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 610880400 is about 24715.9948211679. The cubic root of 610880400 is about 848.5004240441.

The spelling of 610880400 in words is "six hundred ten million, eight hundred eighty thousand, four hundred".