616045824 has 126 divisors (see below), whose sum is σ = 1844242946. Its totient is φ = 205286400.

The previous prime is 616045817. The next prime is 616045831. The reversal of 616045824 is 428540616.

It is an interprime number because it is at equal distance from previous prime (616045817) and next prime (616045831).

It can be written as a sum of positive squares in only one way, i.e., 448084224 + 167961600 = 21168^2 + 12960^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 184974 + ... + 188274.

Almost surely, 2^616045824 is an apocalyptic number.

616045824 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 616045824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922121473).

616045824 is an abundant number, since it is smaller than the sum of its proper divisors (1228197122).

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

616045824 is an frugal number, since it uses more digits than its factorization.

616045824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3335 (or 3306 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 616045824 is about 24820.2704256017. The cubic root of 616045824 is about 850.8852709846.

It can be divided in two parts, 6160 and 45824, that added together give a square (51984 = 228²).

The spelling of 616045824 in words is "six hundred sixteen million, forty-five thousand, eight hundred twenty-four".