610070400 has 384 divisors, whose sum is σ = 2337350400. Its totient is φ = 155105280.

The previous prime is 610070371. The next prime is 610070407. The reversal of 610070400 is 4070016.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610070407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1987047 + ... + 1987353.

It is an arithmetic number, because the mean of its divisors is an integer number (6086850).

Almost surely, 2^610070400 is an apocalyptic number.

610070400 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 610070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168675200).

610070400 is an abundant number, since it is smaller than the sum of its proper divisors (1727280000).

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

610070400 is a wasteful number, since it uses less digits than its factorization.

610070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 610070400 is about 24699.6032356797. The cubic root of 610070400 is about 848.1252336701.

The spelling of 610070400 in words is "six hundred ten million, seventy thousand, four hundred".