612874080 has 384 divisors, whose sum is σ = 2641766400. Its totient is φ = 129226752.

The previous prime is 612874079. The next prime is 612874099. The reversal of 612874080 is 80478216.

It is a super-2 number, since 2×612874080² = 751229275871692800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 392341 + ... + 393899.

It is an arithmetic number, because the mean of its divisors is an integer number (6879600).

Almost surely, 2^612874080 is an apocalyptic number.

612874080 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 612874080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320883200).

612874080 is an abundant number, since it is smaller than the sum of its proper divisors (2028892320).

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

612874080 is a wasteful number, since it uses less digits than its factorization.

612874080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 612874080 is about 24756.2937452277. The cubic root of 612874080 is about 849.4224819832.

It can be divided in two parts, 6128 and 74080, that added together give a palindrome (80208).

The spelling of 612874080 in words is "six hundred twelve million, eight hundred seventy-four thousand, eighty".