61854840 has 160 divisors (see below), whose sum is σ = 220326480. Its totient is φ = 15510528.

The previous prime is 61854839. The next prime is 61854853. The reversal of 61854840 is 4845816.

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

It is a junction number, because it is equal to n+sod(n) for n = 61854795 and 61854804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 54519 + ... + 55641.

Almost surely, 2^61854840 is an apocalyptic number.

61854840 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 61854840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110163240).

61854840 is an abundant number, since it is smaller than the sum of its proper divisors (158471640).

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

61854840 is a wasteful number, since it uses less digits than its factorization.

61854840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1150 counting only the distinct ones).

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

The square root of 61854840 is about 7864.7848031590. The cubic root of 61854840 is about 395.4800338128.

It can be divided in two parts, 6185 and 4840, that added together give a square (11025 = 105²).

The spelling of 61854840 in words is "sixty-one million, eight hundred fifty-four thousand, eight hundred forty".