61833720 has 96 divisors (see below), whose sum is σ = 200934000. Its totient is φ = 15215616.

The previous prime is 61833719. The next prime is 61833721. The reversal of 61833720 is 2733816.

It is an interprime number because it is at equal distance from previous prime (61833719) and next prime (61833721).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61833721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18756 + ... + 21804.

Almost surely, 2^61833720 is an apocalyptic number.

61833720 is a gapful number since it is divisible by the number (60) 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 61833720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100467000).

61833720 is an abundant number, since it is smaller than the sum of its proper divisors (139100280).

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

61833720 is a wasteful number, since it uses less digits than its factorization.

61833720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3089 (or 3072 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 61833720 is about 7863.4419944449. The cubic root of 61833720 is about 395.4350171839.

The spelling of 61833720 in words is "sixty-one million, eight hundred thirty-three thousand, seven hundred twenty".