629076096 has 144 divisors (see below), whose sum is σ = 1990200030. Its totient is φ = 190586880.

The previous prime is 629076089. The next prime is 629076101. The reversal of 629076096 is 690670926.

It can be written as a sum of positive squares in only one way, i.e., 629006400 + 69696 = 25080^2 + 264^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 137136 + ... + 141648.

Almost surely, 2^629076096 is an apocalyptic number.

629076096 is a gapful number since it is divisible by the number (66) 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 629076096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995100015).

629076096 is an abundant number, since it is smaller than the sum of its proper divisors (1361123934).

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

629076096 is a wasteful number, since it uses less digits than its factorization.

629076096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4555 (or 4529 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 629076096 is about 25081.3894351968. The cubic root of 629076096 is about 856.8426209421.

The spelling of 629076096 in words is "six hundred twenty-nine million, seventy-six thousand, ninety-six".