610991920 has 240 divisors, whose sum is σ = 1823883264. Its totient is φ = 186278400.

The previous prime is 610991879. The next prime is 610991929. The reversal of 610991920 is 29199016.

It is a super-2 number, since 2×610991920² = 746622252610572800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 610991920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610991929) 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, 4810897 + ... + 4811023.

Almost surely, 2^610991920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 610991920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911941632).

610991920 is an abundant number, since it is smaller than the sum of its proper divisors (1212891344).

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

610991920 is a wasteful number, since it uses less digits than its factorization.

610991920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 37.

The square root of 610991920 is about 24718.2507471706. The cubic root of 610991920 is about 848.5520539048.

The spelling of 610991920 in words is "six hundred ten million, nine hundred ninety-one thousand, nine hundred twenty".