61629440 has 44 divisors (see below), whose sum is σ = 147850716. Its totient is φ = 24649728.

The previous prime is 61629439. The next prime is 61629473. The reversal of 61629440 is 4492616.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7929856 + 53699584 = 2816^2 + 7328^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 61629397 and 61629406.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 899 + ... + 11138.

Almost surely, 2^61629440 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 61629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73925358).

61629440 is an abundant number, since it is smaller than the sum of its proper divisors (86221276).

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

61629440 is a wasteful number, since it uses less digits than its factorization.

61629440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12062 (or 12044 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 61629440 is about 7850.4420257715. The cubic root of 61629440 is about 394.9990706596. Note that the first 3 decimals are identical.

The spelling of 61629440 in words is "sixty-one million, six hundred twenty-nine thousand, four hundred forty".