61968480 has 96 divisors (see below), whose sum is σ = 223098624. Its totient is φ = 14163456.

The previous prime is 61968479. The next prime is 61968493. The reversal of 61968480 is 8486916.

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 (42).

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, 5862 + ... + 12581.

It is an arithmetic number, because the mean of its divisors is an integer number (2323944).

Almost surely, 2^61968480 is an apocalyptic number.

61968480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61968480 is an abundant number, since it is smaller than the sum of its proper divisors (161130144).

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

61968480 is a wasteful number, since it uses less digits than its factorization.

61968480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18468 (or 18460 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 61968480 is about 7872.0060975586. The cubic root of 61968480 is about 395.7220782313.

The spelling of 61968480 in words is "sixty-one million, nine hundred sixty-eight thousand, four hundred eighty".