616535040 has 352 divisors, whose sum is σ = 2228446080. Its totient is φ = 144179200.

The previous prime is 616534993. The next prime is 616535053. The reversal of 616535040 is 40535616.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 616534989 and 616535007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6927316 + ... + 6927404.

Almost surely, 2^616535040 is an apocalyptic number.

616535040 is a gapful number since it is divisible by the number (60) 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 616535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114223040).

616535040 is an abundant number, since it is smaller than the sum of its proper divisors (1611911040).

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

616535040 is a wasteful number, since it uses less digits than its factorization.

616535040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 616535040 is about 24830.1236404493. The cubic root of 616535040 is about 851.1104471713.

The spelling of 616535040 in words is "six hundred sixteen million, five hundred thirty-five thousand, forty".