61873812 has 288 divisors, whose sum is σ = 224550144. Its totient is φ = 13824000.

The previous prime is 61873811. The next prime is 61873817. The reversal of 61873812 is 21837816.

61873812 is a `hidden beast` number, since 618 + 7 + 38 + 1 + 2 = 666.

It is a super-2 number, since 2×61873812² = 7656737222822688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61873811) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 612562 + ... + 612662.

It is an arithmetic number, because the mean of its divisors is an integer number (779688).

Almost surely, 2^61873812 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 61873812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112275072).

61873812 is an abundant number, since it is smaller than the sum of its proper divisors (162676332).

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

61873812 is a wasteful number, since it uses less digits than its factorization.

61873812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 154 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 61873812 is about 7865.9908466766. The cubic root of 61873812 is about 395.5204633099.

It can be divided in two parts, 6187 and 3812, that added together give a palindrome (9999).

The spelling of 61873812 in words is "sixty-one million, eight hundred seventy-three thousand, eight hundred twelve".