61641600 has 96 divisors (see below), whose sum is σ = 203063640. Its totient is φ = 16435200.

The previous prime is 61641589. The next prime is 61641611. The reversal of 61641600 is 614616.

It is an interprime number because it is at equal distance from previous prime (61641589) and next prime (61641611).

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6390 + ... + 12810.

Almost surely, 2^61641600 is an apocalyptic number.

61641600 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 61641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101531820).

61641600 is an abundant number, since it is smaller than the sum of its proper divisors (141422040).

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

61641600 is a wasteful number, since it uses less digits than its factorization.

61641600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6448 (or 6431 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 61641600 is about 7851.2164662554. The cubic root of 61641600 is about 395.0250478161.

The spelling of 61641600 in words is "sixty-one million, six hundred forty-one thousand, six hundred".