61828956 has 72 divisors (see below), whose sum is σ = 181117664. Its totient is φ = 17418240.

The previous prime is 61828931. The next prime is 61828979. The reversal of 61828956 is 65982816.

61828956 is a `hidden beast` number, since 618 + 28 + 9 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16716 + ... + 20076.

Almost surely, 2^61828956 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 61828956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90558832).

61828956 is an abundant number, since it is smaller than the sum of its proper divisors (119288708).

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

61828956 is a wasteful number, since it uses less digits than its factorization.

61828956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3451 (or 3446 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 61828956 is about 7863.1390678278. The cubic root of 61828956 is about 395.4248614479.

The spelling of 61828956 in words is "sixty-one million, eight hundred twenty-eight thousand, nine hundred fifty-six".