61454880 has 72 divisors (see below), whose sum is σ = 209719692. Its totient is φ = 16387584.

The previous prime is 61454843. The next prime is 61454893. The reversal of 61454880 is 8845416.

It can be written as a sum of positive squares in 2 ways, for example, as 61402896 + 51984 = 7836^2 + 228^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19899 + ... + 22778.

Almost surely, 2^61454880 is an apocalyptic number.

61454880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61454880 is an abundant number, since it is smaller than the sum of its proper divisors (148264812).

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

61454880 is a wasteful number, since it uses less digits than its factorization.

61454880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42698 (or 42687 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 61454880 is about 7839.3162967187. The cubic root of 61454880 is about 394.6257845609.

It can be divided in two parts, 6145 and 4880, that added together give a square (11025 = 105²).

The spelling of 61454880 in words is "sixty-one million, four hundred fifty-four thousand, eight hundred eighty".