613964928 has 128 divisors (see below), whose sum is σ = 1740381120. Its totient is φ = 191102976.

The previous prime is 613964899. The next prime is 613964933. The reversal of 613964928 is 829469316.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1063776 + ... + 1064352.

Almost surely, 2^613964928 is an apocalyptic number.

613964928 is a gapful number since it is divisible by the number (68) 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 613964928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870190560).

613964928 is an abundant number, since it is smaller than the sum of its proper divisors (1126416192).

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

613964928 is a wasteful number, since it uses less digits than its factorization.

613964928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 762 counting only the distinct ones).

The product of its digits is 559872, while the sum is 48.

The square root of 613964928 is about 24778.3156812565. The cubic root of 613964928 is about 849.9261426022.

The spelling of 613964928 in words is "six hundred thirteen million, nine hundred sixty-four thousand, nine hundred twenty-eight".