61745376 has 96 divisors (see below), whose sum is σ = 202099968. Its totient is φ = 16035840.

The previous prime is 61745353. The next prime is 61745381. The reversal of 61745376 is 67354716.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3216 + ... + 11568.

It is an arithmetic number, because the mean of its divisors is an integer number (2105208).

Almost surely, 2^61745376 is an apocalyptic number.

61745376 is a gapful number since it is divisible by the number (66) 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 61745376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101049984).

61745376 is an abundant number, since it is smaller than the sum of its proper divisors (140354592).

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

61745376 is a wasteful number, since it uses less digits than its factorization.

61745376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8384 (or 8376 counting only the distinct ones).

The product of its digits is 105840, while the sum is 39.

The square root of 61745376 is about 7857.8225991683. The cubic root of 61745376 is about 395.2466034744.

The spelling of 61745376 in words is "sixty-one million, seven hundred forty-five thousand, three hundred seventy-six".