619121916 has 144 divisors (see below), whose sum is σ = 1895362560. Its totient is φ = 166458240.

The previous prime is 619121891. The next prime is 619121941.

619121916 is a `hidden beast` number, since 619 + 1 + 21 + 9 + 16 = 666.

619121916 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (619121891) and next prime (619121941).

It is a super-2 number, since 2×619121916² = 766623893743022112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 914170 + ... + 914846.

It is an arithmetic number, because the mean of its divisors is an integer number (13162240).

Almost surely, 2^619121916 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 619121916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947681280).

619121916 is an abundant number, since it is smaller than the sum of its proper divisors (1276240644).

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

619121916 is a wasteful number, since it uses less digits than its factorization.

619121916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 899 counting only the distinct ones).

The product of its digits is 5832, while the sum is 36.

The square root of 619121916 is about 24882.1605975044. The cubic root of 619121916 is about 852.2991576587.

The spelling of 619121916 in words is "six hundred nineteen million, one hundred twenty-one thousand, nine hundred sixteen".