61962544 has 80 divisors (see below), whose sum is σ = 142848000. Its totient is φ = 25489152.

The previous prime is 61962541. The next prime is 61962547. The reversal of 61962544 is 44526916.

61962544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61962541) and next prime (61962547).

It is a super-3 number, since 3×61962544³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (61962541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 415782 + ... + 415930.

It is an arithmetic number, because the mean of its divisors is an integer number (1785600).

Almost surely, 2^61962544 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 61962544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71424000).

61962544 is an abundant number, since it is smaller than the sum of its proper divisors (80885456).

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

61962544 is a wasteful number, since it uses less digits than its factorization.

61962544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 284 counting only the distinct ones).

The product of its digits is 51840, while the sum is 37.

The square root of 61962544 is about 7871.6290563009. The cubic root of 61962544 is about 395.7094423382.

The spelling of 61962544 in words is "sixty-one million, nine hundred sixty-two thousand, five hundred forty-four".