61896960 has 216 divisors, whose sum is σ = 223204800. Its totient is φ = 16422912.

The previous prime is 61896943. The next prime is 61896973. The reversal of 61896960 is 6969816.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310941 + ... + 311139.

Almost surely, 2^61896960 is an apocalyptic number.

61896960 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 61896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111602400).

61896960 is an abundant number, since it is smaller than the sum of its proper divisors (161307840).

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

61896960 is an equidigital number, since it uses as much as digits as its factorization.

61896960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 61896960 is about 7867.4621066771. The cubic root of 61896960 is about 395.5697807076.

The spelling of 61896960 in words is "sixty-one million, eight hundred ninety-six thousand, nine hundred sixty".