61167840 has 144 divisors (see below), whose sum is σ = 203929488. Its totient is φ = 15409152.

The previous prime is 61167839. The next prime is 61167863. The reversal of 61167840 is 4876116.

It is a happy number.

It is a congruent number.

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, 173104 + ... + 173456.

It is an arithmetic number, because the mean of its divisors is an integer number (1416177).

Almost surely, 2^61167840 is an apocalyptic number.

61167840 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 61167840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101964744).

61167840 is an abundant number, since it is smaller than the sum of its proper divisors (142761648).

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

61167840 is a wasteful number, since it uses less digits than its factorization.

61167840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 61167840 is about 7820.9871499703. The cubic root of 61167840 is about 394.0104268587.

The spelling of 61167840 in words is "sixty-one million, one hundred sixty-seven thousand, eight hundred forty".