62961840 has 160 divisors (see below), whose sum is σ = 219747840. Its totient is φ = 16568064.

The previous prime is 62961817. The next prime is 62961841. The reversal of 62961840 is 4816926.

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 = 62961795 and 62961804.

It is not an unprimeable number, because it can be changed into a prime (62961841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222339 + ... + 222621.

It is an arithmetic number, because the mean of its divisors is an integer number (1373424).

Almost surely, 2^62961840 is an apocalyptic number.

62961840 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 62961840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109873920).

62961840 is an abundant number, since it is smaller than the sum of its proper divisors (156786000).

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

62961840 is a wasteful number, since it uses less digits than its factorization.

62961840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 62961840 is about 7934.8497150230. The cubic root of 62961840 is about 397.8253655035.

The spelling of 62961840 in words is "sixty-two million, nine hundred sixty-one thousand, eight hundred forty".