61514040 has 128 divisors (see below), whose sum is σ = 214248960. Its totient is φ = 13837824.

The previous prime is 61514027. The next prime is 61514051. The reversal of 61514040 is 4041516.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 61513998 and 61514016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55734 + ... + 56826.

It is an arithmetic number, because the mean of its divisors is an integer number (1673820).

Almost surely, 2^61514040 is an apocalyptic number.

61514040 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 61514040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107124480).

61514040 is an abundant number, since it is smaller than the sum of its proper divisors (152734920).

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

61514040 is a wasteful number, since it uses less digits than its factorization.

61514040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 61514040 is about 7843.0886773005. The cubic root of 61514040 is about 394.7523737702.

Adding to 61514040 its reverse (4041516), we get a palindrome (65555556).

The spelling of 61514040 in words is "sixty-one million, five hundred fourteen thousand, forty".