616629552 has 240 divisors, whose sum is σ = 2074033920. Its totient is φ = 154344960.

The previous prime is 616629547. The next prime is 616629569. The reversal of 616629552 is 255926616.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1178763 + ... + 1179285.

It is an arithmetic number, because the mean of its divisors is an integer number (8641808).

Almost surely, 2^616629552 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 616629552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037016960).

616629552 is an abundant number, since it is smaller than the sum of its proper divisors (1457404368).

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

616629552 is a wasteful number, since it uses less digits than its factorization.

616629552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 575 counting only the distinct ones).

The product of its digits is 194400, while the sum is 42.

The square root of 616629552 is about 24832.0267396763. The cubic root of 616629552 is about 851.1539353946.

The spelling of 616629552 in words is "six hundred sixteen million, six hundred twenty-nine thousand, five hundred fifty-two".