61621824 has 112 divisors (see below), whose sum is σ = 179953920. Its totient is φ = 18455040.

The previous prime is 61621801. The next prime is 61621829. The reversal of 61621824 is 42812616.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 61621791 and 61621800.

It is not an unprimeable number, because it can be changed into a prime (61621829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344167 + ... + 344345.

Almost surely, 2^61621824 is an apocalyptic number.

61621824 is a gapful number since it is divisible by the number (64) 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 61621824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89976960).

61621824 is an abundant number, since it is smaller than the sum of its proper divisors (118332096).

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

61621824 is a wasteful number, since it uses less digits than its factorization.

61621824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 358 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 61621824 is about 7849.9569425571. The cubic root of 61621824 is about 394.9827990160.

The spelling of 61621824 in words is "sixty-one million, six hundred twenty-one thousand, eight hundred twenty-four".