61294080 has 160 divisors (see below), whose sum is σ = 205058304. Its totient is φ = 15589376.

The previous prime is 61294043. The next prime is 61294091. The reversal of 61294080 is 8049216.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 176467 + ... + 176813.

Almost surely, 2^61294080 is an apocalyptic number.

61294080 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 61294080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102529152).

61294080 is an abundant number, since it is smaller than the sum of its proper divisors (143764224).

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

61294080 is a wasteful number, since it uses less digits than its factorization.

61294080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 61294080 is about 7829.0535826497. The cubic root of 61294080 is about 394.2812973970.

The spelling of 61294080 in words is "sixty-one million, two hundred ninety-four thousand, eighty".