610419264 has 448 divisors, whose sum is σ = 2184806400. Its totient is φ = 149022720.

The previous prime is 610419223. The next prime is 610419281. The reversal of 610419264 is 462914016.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×610419264² = 745223355724603392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19690929 + ... + 19690959.

It is an arithmetic number, because the mean of its divisors is an integer number (4876800).

Almost surely, 2^610419264 is an apocalyptic number.

610419264 is a gapful number since it is divisible by the number (64) 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 610419264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092403200).

610419264 is an abundant number, since it is smaller than the sum of its proper divisors (1574387136).

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

610419264 is a wasteful number, since it uses less digits than its factorization.

610419264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 610419264 is about 24706.6643640942. The cubic root of 610419264 is about 848.2868674643.

The spelling of 610419264 in words is "six hundred ten million, four hundred nineteen thousand, two hundred sixty-four".